Midterm 2A1 SP10 Solutions

What is the new average salary after the raise a

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1. What is the new average salary after the raise? a. 1.10($80,000) b. .10($80,000) c. $80,000 because the mean doesn’t change d. None of the above 2. What is the standard deviation of the new salaries after the raise? 3. If A and B are independent events with P ( A ) = 0.20 and P ( B ) = 0.60, then P (A|B) is: 4. If P ( A ) = 0.25 and P ( B ) = 0.65, then P ( A and B ) must equal 0.25 x 0.65 = .1625. a.Yes b. No 5. P(A|B) + P(A|B c ) = 1 a. True b. False 6. Suppose the variance of X equals 3 and the variance of Y equals 2. Suppose also that X and Y are independent. Then the variance of X - Y equals 3 – 2 = 1. 7. A and A c are disjoint events. a. True b. False 8. Suppose X is a random variable whose only possible value is 10. Then  µ x  = 10. a.TRUE b. FALSE 9. Suppose X is a random variable whose only possible value is 10. Then σ x = 10. 3
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10. The cells within a two-way table represent conditional probabilities. 11. Suppose X and Y are independent. Then the standard deviation of X+Y equals the standard deviation of X plus the standard deviation of Y. Problems 12-13. The distribution of blood types looks like the following. Select two people at random. Call them Bob and Bill. Blood type O A B AB Probability 0.45 0.40 0.11 0.04 12. What is the chance that Bob has type A blood and Bill has type B blood? a..40 + .11 = .51 b. ..40(.11)(2)=.088 c.40(.11) = .044 d. None of the above 13. What is the chance that exactly one of them has type A blood? a.0.40 b. 0.40(.60)(2) = .48 c.0.40(.60) = .24 d. None of the above 14. Suppose 25% of students have an iPod. You take a random sample of 2 students. What is the chance that neither one of them owns an iPod? a.0.56 b. 0.50 c.0.44 d. None of these. 15. Which of the following statements is FALSE? Problems 16-18. Bob is planning a trip to visit his cousin in Chicago. We compare the length of his trip (short or long) to whether or not he’ll forget to pack something important. Short trip Long trip Forgot something important 0.20 0.60 Didn’t forget something important 0.05 0.15 4
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