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HW4 - b 0.90 c 8/9 = 0.889 d 80/82 = 0.9756 e 80/82 =...

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540:210:01: ENG PROBABILITY HW 4 2-75. a) P(A) = 86/100 b) P(B) = 79/100 c) P( AB ) = 79 70 100 / 79 100 / 70 ) ( ) ( B P B A P d) P( B A ) = 86 70 100 / 86 100 / 70 ) ( ) ( A P B A P 2-77. Let A denote the event that a leaf completes the color transformation and let B denote the event that a leaf completes the textural transformation. The total number of experiments is 300. (a) 903 . 0 300 / ) 26 243 ( 300 / 243 ) ( ) ( ) | ( A P B A P A B P (b) 591 . 0 300 / ) 26 18 ( 300 / 26 ) ' ( ) ' ( ) ' | ( B P B A P B A P 2-78. a) 0.82
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Unformatted text preview: b) 0.90 c) 8/9 = 0.889 d) 80/82 = 0.9756 e) 80/82 = 0.9756 f) 2/10 = 0.20 2-79. a) 12/100 b) 12/28 c) 34/122 2-82. a) P(gas leak) = (55 + 32)/107 = 0.813 b) P(electric failure|gas leak) = (55/107)/(87/102) = 0.632 c) P(gas leak| electric failure) = (55/107)/(72/107) = 0.764 2-87. No, if B A , then P(A/B) = P A B P B P B P B ( ) ( ) ( ) ( ) 1 A B...
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