Probability

Probability - Homework #2 Solutions Topic Probability,...

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Unformatted text preview: Homework #2 Solutions Topic Probability, Addition Rule 255. a) P(A) = 0.4 b) P(B) = 0.8 c) P(A') = 0.6 d) P(AB) = 1 e) P(AB) = 0.2 Assignments 2 55, 56, 59, 64, 67, 74, 79 256. a) 0.5 + 0.2 = 0.7 b) 0.3 + 0.5 = 0.8 259. a) S = {1,2,3,4,5,6,7,8} b) 2/8 c) 6/8 264. a) 5*5*4 = 100 b) (5*5)/100 = 25/100=1/4 267. a) P(A) = 30/100 = 0.30 b) P(B) = 77/100 = 0.77 c) P(A') = 1 0.30 = 0.70 d) P(AB) = 22/100 = 0.22 274. e) P(AB) = 85/100 = 0.85 f) P(A'B) =92/100 = 0.92 a) P(A') = 1 P(A) = 0.7 b) P ( A B ) = P(A) + P(B) P( A B ) = 0.3+0.2 0.1 = 0.4 c) P( A B ) + P( A B ) = P(B). Therefore, P( A B ) = 0.2 0.1 = 0.1 d) P(A) = P( A B ) + P( A B ). Therefore, P( A B ) = 0.3 0.1 = 0.2 e) P(( A B )') = 1 P( A B ) = 1 0.4 = 0.6 f) P( A B ) = P(A') + P(B) P( A B ) = 0.7 + 0.2 0.1 = 0.8 279. a) 350/370 b) 345 5 12 362 370 370 345 5 8 358 370 370 c) d) 345/370 ...
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This note was uploaded on 02/27/2012 for the course ISE 540:210 taught by Professor Susanalbin during the Spring '12 term at Rutgers.

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