SME_8e_Ch_07_Section_4 - CHAPTER 7 SECTION 4: RANDOM...

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1 CHAPTER 7 SECTION 4: RANDOM VARIABLES AND DISCRETE PROBABILITY DISTRIBUTIONS MULTIPLE CHOICE 175. Which of the following is not a characteristic of a binomial experiment? a. There is a sequence of identical trials. b. Each trial results in two or more outcomes. c. The trials are independent of each other. d. The probability of success p is the same from one trial to another. ANS: B PTS: 1 REF: SECTION 7.4 176. The expected value, E ( X ), of a binomial probability distribution with n trials and probability p of success is: a. n + p b. np (1 - p ) c. np d. n + p - 1 ANS: C PTS: 1 REF: SECTION 7.4 177. The expected number of heads in 100 tosses of an unbiased coin is a. 25 b. 50 c. 75 d. 100 ANS: C PTS: 1 REF: SECTION 7.4 178. The variance of a binomial distribution for which n = 100 and p = 0.20 is: a. 100 b. 80 c. 20 d. 16 ANS: D PTS: 1 REF: SECTION 7.4 179. Which of the following about the binomial distribution is not a true statement? a. The probability of success must be constant from trial to trial. b. Each outcome is independent of the other. c. Each outcome may be classified as either "success" or "failure". d. The random variable of interest is continuous. ANS: D PTS: 1 REF: SECTION 7.4
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180. If n = 10 and p = 0.60, then the mean of the binomial distribution is a. 0.06 b. 2.65 c. 6.00 d. 5.76 ANS: C PTS: 1 REF: SECTION 7.4 181. If n = 20 and p = 0.70, then the standard deviation of the binomial distribution is a. 0.14 b. 2.05 c. 14.0 d. 14.7 ANS: B PTS: 1 REF: SECTION 7.4 TRUE/FALSE 182. The binomial distribution deals with consecutive trials, each of which has two possible outcomes. ANS: T PTS: 1 REF: SECTION 7.4 183. The variance of a binomial distribution for which n = 50 and p = 0.20 is 8.0. ANS: T PTS: 1 REF: SECTION 7.4 184. The expected number of heads in 250 tosses of an unbiased coin is 125. ANS: T PTS: 1 REF: SECTION 7.4 185. The binomial random variable is the number of successes that occur in a fixed period of time. ANS: F PTS: 1 REF: SECTION 7.4 186. If X is a binomial random variable with n = 25, and p = 0.25, then P ( X = 25) = 1.0. ANS: F PTS: 1 REF: SECTION 7.4 187. The binomial probability distribution is a discrete probability distribution. ANS: T PTS: 1 REF: SECTION 7.4 188. The standard deviation of a binomial random variable X is given by the formula σ 2 = np (1 - p ), where n is the number of trials, and p is the probability of success. ANS: F
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SME_8e_Ch_07_Section_4 - CHAPTER 7 SECTION 4: RANDOM...

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