Chapter 8

Chapter 8 - Chapter 8: The Binomial and Geometric...

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Chapter 8: The Binomial and Geometric Distributions 1. An airplane has a front and a rear door that are both opened to allow passengers to exit when the plane lands. The plane has 100 passengers seated. The number of passengers exiting through the front door should have A) a binomial distribution with mean 50. B) a binomial distribution with 100 trials but success probability not equal to 0.5. C) a normal distribution with a standard deviation of 5. D) none of the above. Ans: D Section: 8.1 The Binomial Distributions 2. A small class has 10 students. Five of the students are male and five are female. I write the name of each student on a 3-by-5 card. The cards are shuffled thoroughly and I choose one at random, observe the name of the student, and replace it in the set. The cards are thoroughly reshuffled and I again choose a card at random, observe the name, and replace it in the set. This is done a total of four times. Let X be the number of cards observed in these four trials with a name corresponding to a male student. The random variable X has which of the following probability distributions? A) the normal distribution with mean 2 and variance 1. B) the binomial distribution with parameters n = 4 and p = 0.5. C) the uniform distribution on 0, 1, 2, 3, 4. D) none of the above. Ans: B Section: 8.1 The Binomial Distributions 3. For which of the following counts would a binomial probability model be reasonable? A) the number of phone calls received in a one-hour period. B) the number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled. C) the number of 7's in a randomly selected set of five random digits from a table of random digits. D) all of the above. Ans: C Section: 8.1 The Binomial Distributions 4. A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is A) 4. B) 2. C) 1. D) 0.5. Ans: B Section: 8.1 The Binomial Distributions Page 108

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Chapter 8: The Binomial and Geometric Distributions 5. A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly and I choose six of these at random. Let X be the number of red cards observed in the six chosen. The random variable X has which of the following probability distributions? A) the normal distribution with mean 3 and variance 1.22. B) the binomial distribution with parameters n = 6 and p = 0.5. C) the uniform distribution of 0, 1, 2, 3, 4, 5, 6.
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Chapter 8 - Chapter 8: The Binomial and Geometric...

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