Practice Midterm 2 WI 10 Solutions

# Suppose the percentage of females who support a

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7. Suppose the percentage of females who support a casino in Columbus is 55%. If supporting a casino in Columbus is independent of gender, what percentage of males support a casino in Columbus? a. 55% b. 45% c. Unknown 8. Suppose the chance that a randomly chosen OSU student owns a dog is 10%, and the chance that a randomly chosen OSU student owns a cat is 15%. Suppose we know that 25% of all cat owners at OSU also own dogs. What is the chance that any randomly chosen student at OSU owns a cat and a dog? 9. Suppose 20% of all women aged 30-50 in the U.S. subscribe to Oprah’s magazine, and 3% of all men aged 30-50 in the U.S. subscribe to Oprah’s magazine. From this info we can say that subscribing to Oprah’s magazine is independent of gender. a. TRUE b. FALSE because P(subscribe|male) not equal to P(subscribe|female) 10. Suppose the following two-way table shows data on people’s opinion of a new candidate for president, by gender. According to these results, gender and opinion of the new candidate are independent. a. TRUE b. FALSE Support Oppose Male 60 40 Female 60 40 2

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11. Suppose X is a continuous random variable and the possible values of X are all real numbers between 0 and 10. Then the probability that X equals 5 is: 12. Suppose X and Y are independent. The variance of X – Y equals the -1 times the variance of Y – X. a. YES b. NO 13. Suppose X and Y are independent, and they both have the same standard deviation of 2. Then the standard deviation of X + Y is 4. a. YES b. NO
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