Question

To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.

Part A: Is X a binomial random variable? Explain.

Part B: What is the mean and standard deviation of X? Provide an interpretation for each value in context.

Part C: Two of the six customers receive the coupon with their purchase. Is the store's claim accurate? Compute P(X ≥ 2) and use the result to justify your answer.

Answer 1