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Hw05ans - STAT 408 Spring 2009 Homework#5(due Thursday...

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STAT 408 Spring 2009 Homework #5 (due Thursday, February 26, by 3:00 p.m.) 2.1 – 10 (a) 10 50 9 47 1 3 = ! ! ! ! ! ! ! ! ! 40 10 50 38 9 47 2 1 3 = 48 49 50 39 40 10 3 = 98 39 = 0.39796 . (b) + 10 50 9 47 1 3 10 50 10 47 0 3 = 98 39 40 10 50 37 10 47 1 ! ! ! ! ! ! + = 98 39 48 49 50 38 39 40 + = 490 195 490 247 + = 245 221 = 0.90204 . 2.4 – 14 (a) X is b (8, 0.90), Binomial distribution with n = 8 and p = 0.90; (b) (i) P(X = 8) = ( 29 ( 29 0 8 1 . 0 9 . 0 8 8 = 0.43046721 ; (ii) P(X 6) = 1 – P(X = 7) – P(X = 8) = ( 29 ( 29 ( 29 ( 29 0 8 1 7 1 . 0 9 . 0 8 8 1 . 0 9 . 0 7 8 1 - - = 0.18689527 ; (iii) P(X 6) = P(X = 6) + P(X = 7) + P(X = 8) = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 8 1 7 2 6 1 . 0 9 . 0 8 8 1 . 0 9 . 0 7 8 1 . 0 9 . 0 6 8 + + = 0.96190821 .
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2.4 – 20 P ( A ) = 0.40,
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