# Hw02ans - STAT 408 Spring 2009 Homework #2 (due Friday,...

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STAT 408 Spring 2009 Homework #2 (due Friday, February 6, by 3:00 p.m.) 1.4-2 (a) 1456 1041 ; (b) 633 392 ; (c) 823 649 . (d) Proportion of women who favor a gun law is greater than the proportion of men who favor a gun law. 1.4-4 (a) P ( H H ) = 51 12 52 13 = 17 1 ; (b) P ( H C ) = 51 13 52 13 = 204 13 ; (c) P ( Non-Ace Heart, Ace ) + P ( Ace of Hearts, Non-Heart Ace ) = 52 1 = = + 51 52 51 51 3 52 1 51 4 52 12 . 1.4-5 (a) P ( A B ) = 1 – 0.1 = 0.9; 0.9 = P ( A B ) = P ( A ) + P ( B ) – P ( A B ) = 0.7 + 0.5 – P ( A B ), P ( A B ) = 0.3 . (b) P ( A | B ) = ( 29 ( 29 5 3 5 . 0 3 . 0 B P B A P = = = 0.6 . (c) P ( B | A ) = ( 29 ( 29 7 3 = = 7 . 0 3 . 0 A P B A P . 1.4-18 P ( R B ) = P ( R A R B ) + P ( W A R B ) = 40 23 = + 8 4 5 2 8 5 5 3 .

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1.5-2 (a) P ( A B ) = P ( A ) × P ( B ) = 0.3 × 0.6 = 0.18; P ( A B ) = P ( A ) + P ( B ) – P ( A B ) = 0.3 + 0.6 – 0.18 = 0.72 . (b)
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## This note was uploaded on 04/27/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.

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Hw02ans - STAT 408 Spring 2009 Homework #2 (due Friday,...

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