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Steve makes calls to prospective clients to set up an appointment for insurance sales calls. 15% of the calls that he makes result in

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Steve makes calls to prospective clients to set up an appointment for insurance sales calls. 15% of the calls that he makes result in an appointment with a prospective client. Give your answers correct to 4 decimal places for the following questions (a) What is the probability that, after making 50 calls, he would have exactly 10 appointments? (3 marks) (b) Out of 38 randomly made calls, compute the probability that at least 2 of them will result in an appointment. (3 marks) (c) Out of 80 randomly made calls, what would be the expected number appointments he could make? Calculate also the standard deviation of the number of calls that result in an appointment. (3 marks)

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