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Problem 1. In each example below, decide whether the random variable is binomial. If it is, determine the values for n and p . If it isn't, explain why not. (a) Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X is the number of diamonds selected. (b) Draw 3 cards at random, one after the other, with replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X is the number of diamonds selected. (c) Approximately 1 in every 20 children in the United States has a certain disease. Let X be the number of children with the disease out of a random sample of 100 children. (d) The probability of having blood type B is 0.1 . Choose 4 people at random in Colorado. Let X be the number with blood type B. (e) A student answers 10 quiz questions completely at random; the first five are true/false the second five are multiple choice, with four options each. X represents the number of correct answers..

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Problem 1. In each example below, decide whether the random variable is binomial. If it is, determine the values for n and p . If it isn't, explain why not. (a) Draw 3 cards at random, one after the other, without replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X is the number of diamonds selected. (b) Draw 3 cards at random, one after the other, with replacement, from a set of 4 cards consisting of one club, one diamond, one heart, and one spade; X is the number of diamonds selected. (c) Approximately 1 in every 20 children in the United States has a certain disease. Let X be the number of children with the disease out of a random sample of 100 children. (d) The probability of having blood type B is 0.1 . Choose 4 people at random in Colorado. Let X be the number with blood type B. (e) A student answers 10 quiz questions completely at random; the first five are true/false the second five are multiple choice, with four options each. X represents the number of correct answers.

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