43. Twenty five individuals are randomly selected out of 100 shoppers leaving a local bedding store. Each shopper was asked if they made a purchase during their visit. Each of the shoppers has the same probability of answering 'yes' to having made a purchase. The probability that exactly four of the twenty- five shoppers made a purchase could best be found by a) using the normal distribution b) using the binomial distribution c) using the Poisson distribution d) using the exponential distribution e) using the uniform distribution Ans: b Response: See section 5.3 Binomial Distribution Difficulty: Medium Learning Objective: 5.3: Solve problems involving the binomial distribution using the binomial formula and the binomial table.
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Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers enter the store, and that they make independent purchasing decisions. (a) Let X be the number, out of the 10 customers in the store, who will make a purchase. Write the binomial probability density function for this situation. (b) Use the binomial distribution to calculate the probability exactly 5 customers make a purchase. (c) Find the probability that 4 or fewer customers make a purchase. (d) Find the probability that 7 or more customers make a purchase.
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