ioe265f11-Practice+Final-2-solution

# ioe265f11-Practice+Final-2-solution - IOE 265 F2011...

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IOE 265 F2011 PRACTICE FINAL EXAM (2)-Solutions 1 of 9 Part I. Multiple Choice (10 questions, 4 points each, 40 points total) 1. If A and B are disjoint or mutually exclusive events with P ( A ) > 0 and P ( B ) > 0, then a. P = P ( A ) + P ( B ) b. P = c. P = P ( A ) + P ( B ) d. P = 2. If are three independent random variables with variances of 2, 4, and 5, respectively, then is a. 36 b. 12 c. 124 d. 140 3. How many combinations of size 2 can be constructed from the set (A, B, C, D, E, and F)? a. 60 b. 20 c. 15 d. 10 4. The cumulative distribution function F ( x ) of a discrete random variable X is given by F (0) = 0.30, F (1) =0 .70, F (2) = 0.90, and F (3) = 1.0, then the value of the probability mass function p ( x ) at x = 1 is a. 0.30 b. 0.40 c. 0.20 d. 0.80 5. Let X be a discrete random variable with E ( X ) = 8.6. Then E (3 X + 5.6) is a. 31.4 b. 14.2 c. 25.8 d. 77.4 6. Which of the following is not a condition of a binomial experiment? a. There is a sequence of n identical trials. b. Each trial results in at least two outcomes. c. The trials are independent of each other. d. The probability of success p is constant from one trial to another.

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IOE 265 F2011 PRACTICE FINAL EXAM (2)-Solutions 2 of 9 7. If X is a normally distributed random variable with a mean of 25 and a standard deviation of 8, then the probability that X exceeds 20 is approximately a. 0.27 b. 0.37 c. 0.62 d. 0.73 8. Which of the following statements are true if is a random sample from a distribution with mean ? a. b. c. d. 9. If X is a nonnegative random variable and the random variable Y = LN( X ) is normally distributed with parameters, then which of the following statements are not true? a. X is a lognormal random variable. b. The parameters are the mean and standard deviation of X . c. The parameters are the mean and standard deviation of Y. d. Y has a symmetric distribution. 10. If P (A|B) = P (A), and P (B|A) = P (B) , then events A and B are said to be: a. independent b. mutually exclusive c. dependent d. complementary
IOE 265 F2011 PRACTICE FINAL EXAM (2)-Solutions 3 of 9 Part II. Briefly answer the following questions (10 points each, 20 points total) – Do not

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## This note was uploaded on 01/05/2012 for the course IOE 265 taught by Professor Jin during the Fall '07 term at University of Michigan.

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ioe265f11-Practice+Final-2-solution - IOE 265 F2011...

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