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A shoe store record shows that of all customers making a purchase, 20% use a credit card to make payment. This morning 15 customers purchased shoes...

11. A shoe store record shows that of all customers making a purchase, 20% use a credit card to make payment. This morning 15 customers purchased shoes from the store. 14 Let the random variable X denote the number of customers, out of the 15, who paid by credit card. (a) State the distribution of the random variable X. (b) Using an appropriate Table of Probabilities, determine the probability that of these 15 customers, exactly 7 paid with a credit card. Ans: (c) Using appropriate Tables of Probabilities, determine also the following: i. P(X = 4); Ans: ii. P(X ≤ 6). Ans: (d) What are the mean and variance of the random variable X?

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