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# HW1 - STAT 400 MATH 463 Fall 2011 Homework#1(due Friday...

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STAT 400 / MATH 463 Fall 2011 Homework #1 (due Friday, September 2, by 3:00 p.m.) No credit will be given without supporting work. 1. Suppose that P ( A ) = 0.60, P ( B ) = 0.40, P ( A B ) = 0.30. 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. 2. Suppose P ( A ) = 0.6, P ( B ) = 0.5, P ( C ) = 0.4, P ( A B ) = 0.3, P ( A C ) = 0.2, P ( B C ) = 0.2, P ( A B C ) = 0.1. Find … a) P ( A B ) ; b) P ( B C ) ; c) P ( ( A B ) C ' ) ; d) P ( A ( B C ) ) . 3. 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? Note: A batter “walks” if the fourth ball is called before the third strike. 4. Consider a “thick” coin with three possible outcomes of a toss ( Heads , Tails , and Edge ) for which Heads and Tails are equally likely, but Edge is seven times less likely than Heads . What is the probability of Heads ?

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HW1 - STAT 400 MATH 463 Fall 2011 Homework#1(due Friday...

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