In: Statistics and Probability
A toll-free phone number is available from 9 a.m. to 9 p.m. to customers who want to register a complaint about a product purchased from your company. Past history indicates that, on average, 0.4 calls are received per hour.
(a) Decide what would be an appropriate distribution to describe the process [2] of people making complaints. Give a justification of your answer, in at most one sentence.
(b) Using the distribution in (a), find the following probabilities: (i) the probability that zero phone calls will be received; [4] (ii) the probability that one phone call will be received; [4] (iii) the probability that two or more phone calls will be received. [2]