10s418hw3sol

10s418hw3sol - HW3 MATH 418 Wen-Yu Hua 4 2 6 1. P( X = 4) =...

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HW3 – MATH 418 Wen-Yu Hua 1. 4 2 6 ( 4) 14 91 2 P X       = = = 2 2 1 ( 0) 14 91 2 P X       = = = 4 2 2 1 8 ( 2) 14 91 2 P X          = = = 8 2 1 1 16 ( 1) 14 91 2 P X          = - = = 4 8 1 1 32 ( 1) 14 91 2 P X          = = = 8 2 28 ( 2) 14 91 2 P X       = - = = 7. (a) {1, 2, 3, 4, 5, 6} (b) {1, 2, 3, 4, 5, 6} (c) {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} (d) {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} 19. P(x = 0) = P(x <= 0) – P(x < 0) = 1/2 – 0 = 1/2 P(x = 1) = P(x <= 1) – P(x < 1) = 3/5 – 1/2 = 1/10 P(x = 2) = P(x <= 2) – P(x < 2) = 4/5 – 3/5 = 1/5 P(x = 3) = P(x <= 3) – P(x < 3) = 9/10 – 4/5 = 1/10 P(x = 3.5) = P(x <= 3.5) – P(x < 3.5) = 1 – 9/10 = 1/10
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28. Let x = # of detected items
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10s418hw3sol - HW3 MATH 418 Wen-Yu Hua 4 2 6 1. P( X = 4) =...

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