Question

21. A telemarketing agent knows that for any given call to a customer, the probability of...

21. A telemarketing agent knows that for any given call to a customer, the probability of making a sale is 0.12 and independent of whether a sale was made with any other call. The agent makes 10 calls per hour. The day shift lasts 8 hours. The agent is expected to make at least 6 sales a day. If he makes less than 6 sales, he has to work overtime.

a. On an average day, what is the probability that the agent will have to work overtime? Explain how you’ve got the number.

b. Suppose it’s a lucky day! The very first 3 calls the agent has made have resulted in 3 sales. What is the probability that the agent will have to work overtime on this day? Explain how you’ve got the number.

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