Suppose that a mobile telecommunication company’s helpline receives five calls, on average, per minute.
Required:
a) Discuss the difference between the Binomial probability distribution and the Poisson probability distribution.
b) How many calls does the company expect to receive in a period of 30 minutes?
c) What is the probability that the company will receive at most four calls in a period of 4 minutes?
d) What is the probability that the company will receive at least three calls in a period of 5 minutes?
e) What is the probability that the company will receive between six and nine calls in a period of 2 minutes?
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