Suppose that on average a salesperson succeeds in making a sale with one in every four potential customers contacted. During a particular week, three new potential customers are contacted.
(a) Use the binomial distribution to calculate the probability that the salesperson will succeed in making more than one sale.
(b) On average, five people per hour telephone a computer help desk. Use the Poisson distribution to calculate the probability that during a given hour:
(i) Exactly one person will telephone the help desk
(ii) More than one person will telephone the help desk
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