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Unformatted text preview: 1 CHAPTER 7 SECTION 5: RANDOM VARIABLES AND DISCRETE PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE 235. The Poisson random variable is a: a. discrete random variable with infinitely many possible values. b. discrete random variable with finite number of possible values. c. continuous random variable with infinitely many possible values. d. continuous random variable with finite number of possible values. ANS: A PTS: 1 REF: SECTION 7.5 236. Given a Poisson random variable X , where the average number of successes occurring in a specified interval is 1.8, then P ( X = 0) is: a. 1.8 b. 1.3416 c. 0.1653 d. 6.05 ANS: C PTS: 1 REF: SECTION 7.5 237. Which of the following cannot have a Poisson distribution? a. The length of a movie. b. The number of telephone calls received by a switchboard in a specified time period. c. The number of customers arriving at a gas station in Christmas day. d. The number of bacteria found in a cubic yard of soil. ANS: A PTS: 1 REF: SECTION 7.5 238. In a Poisson distribution, the: a. mean equals the standard deviation. b. median equals the standard deviation. c. mean equals the variance. d. None of these choices. ANS: C PTS: 1 REF: SECTION 7.5 239. Big Rapids local police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of 6.5 tickets per day. Interpret the value of the mean. a. The number of tickets that is written most often is 6.5 tickets per day. b. Half of the days have less than 6.5 tickets written and half of the days have more than 6.5 tickets written. c. The expected number of tickets written would be 6.5 per day. d. The mean has no interpretation. ANS: C PTS: 1 REF: SECTION 7.5 2 240. A community college has 150 personal computers. The probability that any one of them will require repair on a given day is 0.025. To find the probability that exactly 25 of the computers will require repair, one will use what type of probability distribution? a. Binomial distribution b. Poisson distribution c. Normal distribution d. None of these choices. ANS: A PTS: 1 REF: SECTION 7.5 241. On the average, 1.6 customers per minute arrive at any one of the checkout counters of Meijer grocery store. What type of probability distribution can be used to find out the probability that there will be no customers arriving at a checkout counter in 10 minutes?...
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- Spring '10