In: Statistics and Probability
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An entrepreneur opened a small hardware store in a street mall. During the first few weeks, the business was slow with the store averaging only one customer arrived every 20 minutes. Assume that the random arrival of customers is Poisson distributed.
(a) What is the probability that exactly 5 customers arrive during
one-hour period?
(b) If the average revenue from each customer is USD 12, what is
the probability that the entrepreneur’s hourly earnings are at
least USD 24?
(c) If the hardware shop is open for 8 hours, what is the
entrepreneurs mean daily earnings if each customer were to spend on
average about USD 12.