SME_8e_Ch_08_Section_3 - CHAPTER 8 SECTION 3: CONTINUOUS...

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1 CHAPTER 8 SECTION 3: CONTINUOUS PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE 116. If the random variable X is exponentially distributed with parameter λ = 3, then the probability P ( X 2) equals: a. 0.3333 b. 0.5000 c. 0.6667 d. 0.0025 ANS: D PTS: 1 REF: SECTION 8.3 117. If the random variable X is exponentially distributed with parameter = 1.5, then the probability P (2 X 4), up to 4 decimal places, is a. 0.6667 b. 0.0473 c. 0.5000 d. 0.2500 ANS: B PTS: 1 REF: SECTION 8.3 118. If the random variable X is exponentially distributed with parameter = 4, then the probability P ( X 0.25), up to 4 decimal places, is a. 0.6321 b. 0.3679 c. 0.2500 d. None of these choices. ANS: A PTS: 1 REF: SECTION 8.3 119. The exponential density function f(x) : a. is bell-shaped. b. is symmetrical. c. approaches infinity as x approaches zero. d. approaches zero as x approaches infinity. ANS: D PTS: 1 REF: SECTION 8.3 120. If the random variable X is exponentially distributed, then the mean of X will be: a. greater than the median. b. less than the median. c. equal to the median. d. Cannot tell; the answer depends on what is. ANS: A PTS: 1 REF: SECTION 8.3
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2 121. Which of the following is not true for an exponential distribution with parameter λ ? a. μ = 1/ b. σ = 1/ c. The Y -intercept of f(x) is . d. All of these choices are true. ANS: D PTS: 1 REF: SECTION 8.3 122. If the mean of an exponential distribution is 2, then the value of the parameter is a. 0 b. 2.0 c. 0.5 d. 1.0 ANS: C PTS: 1 REF: SECTION 8.3 123. If the parameter of an exponential distribution is 1, then which of the following is not true? a. The density function is e - x for x 0. b. The mean is equal to 1. c. The standard deviation and variance are both equal to 1. d. All of these choices are true. ANS: D PTS: 1 REF: SECTION 8.3 124. Which of the following can have an exponential distribution? a. Time between phone calls coming in to a technical support desk. b. Time until the first customer arrives at the bank in the morning. c. Lifetime of a new battery. d. All of these choices are true. ANS: D PTS: 1 REF: SECTION 8.3 TRUE/FALSE 125. In the exponential distribution, X takes on an infinite number of possible values in the given range. ANS: T PTS: 1 REF: SECTION 8.3 126. The mean and standard deviation of an exponential random variable are equal to each other. ANS: T PTS: 1 REF: SECTION 8.3 127. If the mean of an exponential distribution is 2, then the value of the parameter is 2.0. ANS: F PTS: 1 ANS: F PTS: 1 REF: SECTION 8.3
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This note was uploaded on 09/28/2010 for the course FINOPMGT 250 taught by Professor Kumar during the Spring '10 term at University of Massachusetts Boston.

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SME_8e_Ch_08_Section_3 - CHAPTER 8 SECTION 3: CONTINUOUS...

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