STAT_13_HW3_Sol

STAT_13_HW3_Sol - 1 STA 13C Homework 3 Professor Francisco...

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Unformatted text preview: 1 STA 13C Homework 3 Professor Francisco J. Samaniego Solutions for Homework 3 Problems 4.31, 4.32, 4.37, 4.83, 4.85, 4.91, 4.92, 4.124, 5.8, 5.25, five additional problems Problem 4.31 a) The number of simple events in the sample space is 52 5 d e = 2598960 eeeeeeeeeeeeeeeeeeeeeeeeee b) There are 4 ways eeeeeeeeeeeeeeeeeeeee to get a royal flush c) P a royal flush b c = 4 52 5 d e ffffffffffffffff = 4 2598960 fffffffffffffffffffffffffff = 0.000001539 eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Problem 4.32 a) The number of possible poker hands is 52 5 d e = 2598960 eeeeeeeeeeeeeeeeeeeeeeeeee b) The number of ways I can receive four cards of the same value and one card from the other 48 available cards is: 13 B 4 4 d e B 48 1 d e = 624 eeeeeeeeee c) P four of a kind b c = 13 B 4 4 d e B 48 1 d e 52 5 d e fffffffffffffffffffffffffffffffffffffffffffffffffff = 624 2598960 fffffffffffffffffffffffffff = 0.0002401 eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee 2 Problem 4.37 3 Problem 4.83 Problem 4.85 The expected value of x is X xp x ` a = ` a 0.1 ` a + 1 ` a 0.4 ` a + 2 ` a 0.4 ` a + 3 ` a 0.1 ` a = 1.5 eeeeeeee 4 Problem 4.91 Problem 4.92 Let W be the event that A wins, L be the event that A loses, then P W ` a = 0.6 , P L ` a = 1 @ 0.6 = 0.4 P x = 3 ` a = P WWW ` a = 0.6 ` a 0.6 ` a 0.6 ` a = 0.2160....
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This note was uploaded on 02/21/2009 for the course STATS 13 taught by Professor Leong during the Fall '07 term at UC Davis.

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STAT_13_HW3_Sol - 1 STA 13C Homework 3 Professor Francisco...

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