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# Hw01ans - STAT 408 Spring 2009 Homework#1(due Friday...

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STAT 408 Spring 2009 Homework #1 (due Friday, January 30, by 3:00 p.m.) 1. Suppose that P(A) = 0.40, P(B) = 0.30, P(A B) = 0.20. What is the probability that … a) either A occurs or B occurs (or both); b) B does not occur; c) B occurs and A does not occur; d) neither A nor B occurs; a) P ( A B ) = 0.50 . b) P ( B ' ) = 0.70 . c) P ( B A ' ) = 0.10 . d) P ( A ' B ' ) = 0.50 . 2. Let events A and B and sample space S be defined as the following intervals: S = { x : 0 x 10 } , A = { x : 0 < x < 5 } , B = { x : 3 x 7 } . Characterize the following events: a) A ' b) A B c) A B { 0 } [ 5, 10 ] [ 3, 5 ) ( 0, 7 ] d) A B ' e) A ' B f) A ' B ' ( 0, 3 ) { 0 } [ 3, 10 ] { 0 } ( 7, 10 ]

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3. An urn contains six chips numbered 1 through 6. Three are drawn out. What outcomes are in the event “Second smallest chip is a 3”? Assume that the order of the chips is irrelevant. ( 1, 3, 4 ) ( 1, 3, 5 ) ( 1, 3, 6 ) ( 2, 3, 4 ) ( 2, 3, 5 ) ( 2, 3, 6 ) 4. Suppose a baseball player steps to the plate with the intention of trying to “coax” a base on balls by never swinging at a pitch. The umpire, of course, will necessarily call each pitch either a ball (B) or a strike (S). What outcomes make up the event A, that a batter walks on the sixth pitch?
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Hw01ans - STAT 408 Spring 2009 Homework#1(due Friday...

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