{"id":1322,"date":"2023-07-26T21:19:13","date_gmt":"2023-07-26T21:19:13","guid":{"rendered":"https:\/\/statorials.org\/my\/pmf-%e1%80%85%e1%80%ac%e1%80%9b%e1%80%84%e1%80%ba%e1%80%b8%e1%80%87%e1%80%9a%e1%80%ac%e1%80%b8\/"},"modified":"2023-07-26T21:19:13","modified_gmt":"2023-07-26T21:19:13","slug":"pmf-%e1%80%85%e1%80%ac%e1%80%9b%e1%80%84%e1%80%ba%e1%80%b8%e1%80%87%e1%80%9a%e1%80%ac%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/pmf-%e1%80%85%e1%80%ac%e1%80%9b%e1%80%84%e1%80%ba%e1%80%b8%e1%80%87%e1%80%9a%e1%80%ac%e1%80%b8\/","title":{"rendered":"\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f (pmf) \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a<\/strong> \u104a \u1019\u1000\u103c\u102c\u1001\u100f \u1021\u1010\u102d\u102f\u1000\u1031\u102c\u1000\u103a <strong>PMF \u101e\u100a\u103a<\/strong> <a href=\"https:\/\/statorials.org\/my\/\u1000\u103b\u1015\u1014\u103a\u1038-\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">\u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a<\/a> \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u1031\u102b\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101e\u1031\u1010\u1039\u1010\u102c\u1000\u102d\u102f \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u101c\u102d\u1015\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1021\u1000\u101a\u103a\u104d \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a x \u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1001\u103d\u1004\u1037\u103a\u1015\u103c\u102f\u1015\u102b\u1000\u104a <em>x<\/em> \u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u1014\u103a\u1038\u1010\u1030\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u1031\u102c\u103a\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(X=1): 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X=2): 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X=3): 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X=4): 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X=5): 1\/6<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(X=6): 1\/6<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1021\u1014\u103a\u1005\u102c\u1010\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a 1 \u1014\u103e\u1004\u1037\u103a 6 \u1021\u1000\u103c\u102c\u1038 \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1014\u1036\u1015\u102b\u1010\u103a\u1015\u1031\u102b\u103a\u1019\u1006\u102d\u102f \u1006\u1004\u103a\u1038\u101e\u1000\u103a\u101b\u1014\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u103d\u1004\u1037\u103a\u1021\u101b\u1031\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1021\u1016\u103c\u1005\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12928 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pmf1-1.png\" alt=\"\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 Mass Function \u1025\u1015\u1019\u102c\" width=\"227\" height=\"181\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1015\u102f\u1036\u1000\u103c\u1019\u103a\u1038\u104f \u1018\u101a\u103a\u1018\u1000\u103a\u1001\u103c\u1019\u103a\u1038\u101e\u100a\u103a \u100a\u102c\u1018\u1000\u103a\u1001\u103c\u1019\u103a\u1038\u101b\u103e\u102d \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1006\u1000\u103a\u1005\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12929 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pmf2.png\" alt=\"\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\" width=\"246\" height=\"232\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u104f \u101c\u1000\u1039\u1001\u100f\u102c\u101b\u1015\u103a\u1010\u1005\u103a\u1001\u102f\u1019\u103e\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1000\u102d\u102f 1 \u1014\u103e\u1004\u1037\u103a \u1015\u1031\u102b\u1004\u103a\u1038\u1005\u100a\u103a\u1038\u101b\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a = 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 = 1\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a <strong>\u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1019\u103e\u102f\u101e\u100a\u103a<\/strong> \u1001\u103d\u1032\u1001\u103c\u1019\u103a\u1038\u1005\u102d\u1010\u103a\u1016\u103c\u102c\u101e\u1031\u102c\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u1037\u103a\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1021\u1005\u102f\u1000\u102d\u102f \u101b\u100a\u103a\u100a\u103d\u103e\u1014\u103a\u1038\u101e\u100a\u103a\u104b \u1024\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u104a \u1021\u101e\u1031\u1001\u1036\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1011\u1032\u1019\u103e \u1010\u1005\u103a\u1001\u102f\u1001\u102f\u1000\u102d\u102f \u101a\u1030\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a \u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1019\u103e\u102f\u101e\u100a\u103a {1\u104a 2\u104a 3\u104a 4\u104a 5\u104a 6} \u1016\u103c\u1005\u103a\u101c\u102d\u1019\u1037\u103a\u1019\u100a\u103a\u104b<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1015\u1036\u1037\u1015\u102d\u102f\u1038\u1019\u103e\u102f\u1021\u1015\u103c\u1004\u103a PMF \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1024\u1014\u1036\u1015\u102b\u1010\u103a\u1019\u103b\u102c\u1038\u1021\u1014\u1000\u103a\u1019\u103e\u1010\u1005\u103a\u1001\u102f\u1019\u103b\u103e\u1019\u1015\u102b\u101d\u1004\u103a\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a &#8220; 0&#8221;  \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; 7&#8221;  \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a &#8220; 8&#8221;  \u1010\u103d\u1004\u103a\u101e\u1031\u1006\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/span><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u101c\u1000\u103a\u1010\u103d\u1031\u1037\u1010\u103d\u1004\u103a\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u104f\u1021\u101e\u102f\u1036\u1038\u1021\u1019\u103b\u102c\u1038\u1006\u102f\u1036\u1038\u1014\u1019\u1030\u1014\u102c\u1014\u103e\u1005\u103a\u1001\u102f\u101e\u100a\u103a <a href=\"https:\/\/statorials.org\/my\/binomial-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener\">binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f<\/a> \u1014\u103e\u1004\u1037\u103a <a href=\"https:\/\/statorials.org\/my\/\u1004\u102b\u1038\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\/\" target=\"_blank\" rel=\"noopener\">Poisson \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1014\u103e\u1004\u1037\u103a<\/a> \u1015\u1010\u103a\u101e\u1000\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u104b<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u1015\u1014\u103a\u1038 variable <em>X \u101e\u100a\u103a<\/em> binomial distribution \u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b\u1000\u104a <em>X<\/em> = <em>k<\/em> \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u102c\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <strong>P(X=k) = <sub>n<\/sub> C <sub>k<\/sub> * p <sup>k<\/sup> * (1-p) <sup>nk<\/sup><\/strong><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-<\/strong> \u1015\u1031\u1038\u1011\u102c\u1038\u101e\u1031\u102c \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>n<\/sub> C <sub>k<\/sub> :<\/strong> <em>n<\/em> \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a <em>k<\/em> \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u101b\u101b\u103e\u102d\u101b\u1014\u103a \u1014\u100a\u103a\u1038\u101c\u1019\u103a\u1038\u1019\u103b\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u104a \u1021\u1000\u103c\u103d\u1031\u1005\u1031\u1037\u1000\u102d\u102f \u1043 \u1000\u103c\u102d\u1019\u103a\u101c\u103e\u1014\u103a\u1010\u101a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1024 3 \u1000\u103c\u102d\u1019\u103a\u1010\u103d\u1004\u103a 0\u104a 1\u104a 2 \u1014\u103e\u1004\u1037\u103a 3 \u1001\u1031\u102b\u1004\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u101b\u101a\u1030\u101b\u1014\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = <sub>3<\/sub> C <sub>0<\/sub> * 0.5 <sup>0<\/sup> * (1-0.5) <sup>3-0<\/sup> = 1 * 1 * (0.5) <sup>3<\/sup> = <strong>0.125\u104a<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=1)<\/strong> = <sub>3<\/sub> C <sub>1<\/sub> * 0.5 <sup>1<\/sup> * (1-0.5) <sup>3-1<\/sup> = 1 * 1 * (0.5) <sup>2<\/sup> = <strong>0.375\u104a<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=2)<\/strong> = <sub>3<\/sub> C <sub>2<\/sub> * 0.5 <sup>2<\/sup> * (1-0.5) <sup>3-2<\/sup> = 1 * 1 * (0.5) <sup>1<\/sup> = <strong>0.375\u104a<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(X=3)<\/strong> = <sub>3<\/sub> C <sub>3<\/sub> * 0.5 <sup>3<\/sup> * (1-0.5) <sup>3-3<\/sup> = 1 * 1 * (0.5) <sup>0<\/sup> = <strong>0.125\u104a<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>\u1004\u102b\u1038\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u101b\u1031\u1038<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1000\u103b\u1015\u1014\u103a\u1038\u1015\u103c\u1031\u102c\u1004\u103a\u1038\u101c\u1032\u1014\u102d\u102f\u1004\u103a\u101e\u1031\u102c <em>X \u101e\u100a\u103a<\/em> Poisson \u1016\u103c\u1014\u1037\u103a\u101d\u1031\u1019\u103e\u102f\u1000\u102d\u102f \u101c\u102d\u102f\u1000\u103a\u1014\u102c\u1015\u102b\u1000\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a <em>X<\/em> = <em>k<\/em> \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1016\u103c\u1004\u1037\u103a \u101b\u103e\u102c\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(X=k) = \u03bb <sup>k<\/sup> * e <sup>\u2013 \u03bb<\/sup> \/ k!<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u101b\u103d\u103e\u1031-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03bb:<\/strong> \u1010\u102d\u1000\u103b\u101e\u1031\u102c\u1000\u103c\u102c\u1038\u1000\u102c\u101c\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1004\u103a\u1038 \u1016\u103c\u1005\u103a\u1015\u1031\u102b\u103a\u101e\u100a\u1037\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e\u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> \u1021\u1031\u102c\u1004\u103a\u1019\u103c\u1004\u103a\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a<\/span><\/li>\n<li> <span style=\"color: #000000;\"><b>e-<\/b> \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1001\u103c\u1031\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a 2.71828 \u1014\u103e\u1004\u1037\u103a\u100a\u102e\u1019\u103b\u103e\u101e\u1031\u102c \u1000\u102d\u1014\u103a\u1038\u101e\u1031\u1010\u1005\u103a\u1001\u102f<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1006\u1031\u1038\u101b\u102f\u1036\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1010\u1005\u103a\u1014\u102c\u101b\u102e\u101c\u103b\u103e\u1004\u103a \u1015\u103b\u1019\u103a\u1038\u1019\u103b\u103e \u1019\u103d\u1031\u1038\u1016\u103d\u102c\u1038\u1019\u103e\u102f \u1042 \u1001\u102f \u1001\u1036\u1005\u102c\u1038\u101b\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b 0\u104a 1\u104a 2\u104a 3 \u1019\u103d\u1031\u1038\u1016\u103d\u102c\u1038\u1019\u103e\u102f \u1005\u101e\u100a\u103a\u1016\u103c\u1004\u1037\u103a \u1010\u103d\u1031\u1037\u1000\u103c\u102f\u1036\u101b\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a \u1021\u1011\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u1016\u1031\u102c\u103a\u1019\u103c\u1030\u101c\u102c\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u1014\u102c\u101b\u102e\u1021\u1010\u103d\u1004\u103a\u1038<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>P(X=0)<\/strong> = 2 <sup>0<\/sup> * e <sup>\u2013 2<\/sup> \/ 0! = <strong>0.1353<\/strong><\/span><\/li>\n<li> <strong style=\"color: #000000;\">P(X=1)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">1<\/sup> <span style=\"color: #000000;\">* e<\/span> <sup style=\"color: #000000;\">\u2013 2\/1<\/sup> <span style=\"color: #000000;\">! =<\/span> <strong style=\"color: #000000;\">0.2707<\/strong><\/li>\n<li> <strong style=\"color: #000000;\">P(X=2)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">2<\/sup> <span style=\"color: #000000;\">* e<\/span> <sup style=\"color: #000000;\">\u2013 2\/2<\/sup> <span style=\"color: #000000;\">! =<\/span> <strong style=\"color: #000000;\">0.2707<\/strong><\/li>\n<li> <strong style=\"color: #000000;\">P(X=3)<\/strong> <span style=\"color: #000000;\">= 2<\/span> <sup style=\"color: #000000;\">3<\/sup> <span style=\"color: #000000;\">* e<\/span> <sup style=\"color: #000000;\">\u2013 2\/3<\/sup> <span style=\"color: #000000;\">! =<\/span> <strong style=\"color: #000000;\">0.1805<\/strong><\/li>\n<\/ul>\n<h3> <strong>PMF \u1000\u102d\u102f\u1000\u103c\u100a\u1037\u103a\u1015\u102b\u104b<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u1018\u102c\u1038\u1002\u101b\u1015\u103a\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u101c\u1031\u1037\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b\u1018\u102c\u1038\u1007\u101a\u102c\u1038\u101e\u100a\u103a \u101a\u1001\u1004\u103a\u1025\u1015\u1019\u102c\u1010\u103d\u1004\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1011\u102c\u1038\u101e\u1031\u102c Poisson \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1021\u1010\u103d\u1000\u103a \u1010\u1005\u103a\u1014\u102c\u101b\u102e\u101c\u103b\u103e\u1004\u103a\u1019\u103d\u1031\u1038\u1016\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u1014\u103e\u1004\u1037\u103a\u1006\u1000\u103a\u1005\u1015\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f\u1015\u103c\u101e\u101e\u100a\u103a-<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8131 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poissondist1.png\" alt=\"\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1019\u103c\u1004\u103a\u101a\u1031\u102c\u1004\u103a\u1015\u102f\u1036\" width=\"490\" height=\"360\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u103d\u1031\u1038\u1016\u103d\u102c\u1038\u1019\u103e\u102f\u1021\u101b\u1031\u1021\u1010\u103d\u1000\u103a\u101e\u100a\u103a \u1021\u1006\u102f\u1036\u1038\u1019\u101b\u103e\u102d\u1021\u1011\u102d \u1010\u102d\u102f\u1038\u101e\u103d\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u1000\u102d\u102f \u101e\u1010\u102d\u1015\u103c\u102f\u1015\u102b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038\u101e\u100a\u103a 10 \u1014\u1031\u102c\u1000\u103a\u1015\u102d\u102f\u1004\u103a\u1038\u1010\u103d\u1004\u103a \u1021\u101c\u103d\u1014\u103a\u1014\u100a\u103a\u1038\u1015\u102b\u1038\u101e\u103d\u102c\u1038\u101e\u100a\u1037\u103a\u1021\u1010\u103d\u1000\u103a \u104e\u1004\u103a\u1038\u1010\u102d\u102f\u1037\u1000\u102d\u102f \u1018\u102c\u1038\u1002\u101b\u1015\u103a\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a\u1015\u1004\u103a \u1019\u1019\u103c\u1004\u103a\u1014\u102d\u102f\u1004\u103a\u1015\u1031\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>PMF \u104f \u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1010\u103d\u1004\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1002\u102f\u100f\u103a\u101e\u1010\u1039\u1010\u102d\u1019\u103b\u102c\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1006\u1031\u102c\u1004\u103a\u101e\u1031\u102c \u1011\u1031\u102c\u1000\u103a\u1001\u1036\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/strong> \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a 1 \u1014\u103e\u1004\u1037\u103a 6 \u1021\u1000\u103c\u102c\u1038\u1000\u103b\u101e\u1031\u102c\u101e\u1031\u1006\u102f\u1036\u1038\u1001\u103c\u1004\u103a\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a \u1021\u1015\u103c\u102f\u101e\u1018\u1031\u102c\u1016\u103c\u1005\u103a\u1015\u103c\u102e\u1038 \u1021\u1001\u103c\u102c\u1038\u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103e\u102c \u101e\u102f\u100a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u101b\u101c\u1012\u103a\u1019\u103b\u102c\u1038\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u1010\u103d\u1004\u103a 0 \u1014\u103e\u1004\u1037\u103a 1 \u1021\u1000\u103c\u102c\u1038\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101b\u103e\u102d\u101e\u100a\u103a\u104b<\/strong> \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a 1 \u1014\u103e\u1004\u1037\u103a 6 \u1021\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a \u101e\u1031\u1006\u102f\u1036\u1038\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u101e\u100a\u103a 1\/6 \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a 0.1666666 \u101b\u101c\u1012\u103a\u1010\u1005\u103a\u1001\u102f\u1005\u102e\u1021\u1010\u103d\u1000\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u102c\u1038\u101c\u102f\u1036\u1038\u104f \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u101e\u100a\u103a 1 \u1014\u103e\u1004\u1037\u103a \u100a\u102e\u1019\u103b\u103e\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/strong> \u1025\u1015\u1019\u102c\u104a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c\u1000\u102d\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1000\u103b\u101c\u102c\u101e\u1031\u102c \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1019\u103b\u102c\u1038 \u1015\u1031\u102b\u1004\u103a\u1038\u101c\u1012\u103a\u101e\u100a\u103a 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1\/6 + 1 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \/\u1046=\u1041\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/my\/\u1000\u103b\u1015\u1014\u103a\u1038-\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1019\u103b\u102c\u1038\/\" target=\"_blank\" rel=\"noopener\">Random variable \u1010\u103d\u1031\u1000 \u1018\u102c\u1010\u103d\u1031\u101c\u1032\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\" target=\"_blank\" rel=\"noopener\">CDF \u101e\u102d\u102f\u1037\u1019\u101f\u102f\u1010\u103a PDF- \u1000\u103d\u102c\u1001\u103c\u102c\u1038\u1001\u103b\u1000\u103a\u1000\u102c\u1038 \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/binomial-\u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f-\u1041\/\" target=\"_blank\" rel=\"noopener\">binomial \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1001\u103c\u1004\u103a\u1038\u1021\u1010\u103d\u1000\u103a \u1014\u102d\u1012\u102b\u1014\u103a\u1038\u1010\u1005\u103a\u1001\u102f<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/\u1004\u102b\u1038\u1016\u103c\u1014\u1037\u103a\u1001\u103b\u102e\u101b\u1031\u1038\/\" target=\"_blank\" rel=\"noopener\">Poisson \u1016\u103c\u1014\u1037\u103a\u1016\u103c\u1030\u1038\u1019\u103e\u102f\u1019\u102d\u1010\u103a\u1006\u1000\u103a<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031 \u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a \u104a \u1019\u1000\u103c\u102c\u1001\u100f \u1021\u1010\u102d\u102f\u1000\u1031\u102c\u1000\u103a PMF \u101e\u100a\u103a \u101e\u102e\u1038\u1001\u103c\u102c\u1038\u1000\u103b\u1015\u1014\u103a\u1038\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u1031\u102b\u103a \u101e\u1000\u103a\u101b\u1031\u102c\u1000\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1015\u103c\u1031\u102c\u1015\u103c\u101e\u100a\u103a\u104b \u1025\u1015\u1019\u102c\u1021\u102c\u1038\u1016\u103c\u1004\u1037\u103a\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a \u101e\u1031\u1010\u1039\u1010\u102c\u1000\u102d\u102f \u1010\u1005\u103a\u1000\u103c\u102d\u1019\u103a\u101c\u102d\u1015\u103a\u101e\u100a\u103a\u1006\u102d\u102f\u1015\u102b\u1005\u102d\u102f\u1037\u104b \u1021\u1000\u101a\u103a\u104d \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a x \u1010\u103d\u1004\u103a \u1000\u102d\u1014\u103a\u1038\u1002\u100f\u102c\u1014\u103a\u1038\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u1031\u102c\u103a\u1015\u103c\u1001\u103d\u1004\u1037\u103a\u1015\u103c\u102f\u1015\u102b\u1000\u104a x \u101e\u100a\u103a \u1019\u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u1014\u103a\u1038\u1010\u1030\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1016\u1031\u102c\u103a\u1015\u103c\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b P(X=1): 1\/6 P(X=2): 1\/6 P(X=3): 1\/6 P(X=4): 1\/6 P(X=5): 1\/6 P(X=6): 1\/6 \u1021\u1014\u103a\u1005\u102c\u1010\u102f\u1036\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a 1 \u1014\u103e\u1004\u1037\u103a 6 \u1021\u1000\u103c\u102c\u1038 \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1014\u1036\u1015\u102b\u1010\u103a\u1015\u1031\u102b\u103a\u1019\u1006\u102d\u102f \u1006\u1004\u103a\u1038\u101e\u1000\u103a\u101b\u1014\u103a \u1010\u1030\u100a\u102e\u101e\u1031\u102c\u1021\u1001\u103d\u1004\u1037\u103a\u1021\u101b\u1031\u1038\u101b\u103e\u102d\u101e\u100a\u103a\u104b \u1024\u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103b\u1031\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f\u1021\u1016\u103c\u1005\u103a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101b\u1031\u1038\u101e\u102c\u1038\u1014\u102d\u102f\u1004\u103a\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b \u1015\u102f\u1036\u1000\u103c\u1019\u103a\u1038\u104f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a (PMF) \u1006\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f (PMF) \u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a 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\u1021\u1018\u101a\u103a\u1014\u100a\u103a\u1038\u104b\" \/>\n<meta property=\"og:description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a \u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1016\u103c\u1005\u103a\u1014\u102d\u102f\u1004\u103a\u1001\u103c\u1031\u1021\u1005\u102f\u101c\u102d\u102f\u1000\u103a\u1021\u1015\u103c\u102f\u1036\u101c\u102d\u102f\u1000\u103a\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1019\u103e\u102f (PMF) \u1000\u102d\u102f \u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u1016\u103c\u1004\u1037\u103a \u1021\u1019\u103c\u1014\u103a\u1014\u102d\u1012\u102b\u1014\u103a\u1038\u1015\u1031\u1038\u1015\u102b\u101e\u100a\u103a\u104b\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/my\/pmf-\u1005\u102c\u101b\u1004\u103a\u1038\u1007\u101a\u102c\u1038\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T21:19:13+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pmf1-1.png\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" 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