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20-hw5

# 20-hw5 - Stat 20 solutions to homework 5 Michael Lugo...

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Stat 20: solutions to homework 5 Michael Lugo October 7, 2010 Chapter 12, # 5 False. There are two regression lines, one for predicting the wife’s income from the husband’s income and one for predicting the husband’s income from the wife’s income. Chapter 12, # 9 This question describes how we could obtain the regression line for predicting IQ from parental income. The slope of the regression line is r × SD(IQ) SD(income) = 0 . 50 × 15 45 , 000 = 1 / 6 , 000 . Chapter 13, # 4 The probability that the first card is an ace is 4 / 52. Given this, the probabil- ity that the second card is an ace is 3 / 51, since there are 51 cards remaining of which 3 are aces. Similarly, the probabilites that the third and fourth cards are aces, given that all prior cards are aces, are 2 / 50 and 1 / 49. Finally, the probability that the fifth card is a king is 4 / 48, since 48 cards remain of which four are kings. The answer is therefore 4 52 × 3 51 × 2 50 × 1 49 × 4 48 = 96 311875200 = 1 3248700 = 3 . 08 × 10 - 7 .

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