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In: Statistics and Probability

An entrepreneur opened a small hardware store in a strip mall. During the first few weeks,...

An entrepreneur opened a small hardware store in a strip mall. During the first few weeks, business was slow, with the store averaging only one customer every 20 minutes in the morning. Assume that the random arrival of customers is Poisson distributed. (a) What is the probability that at least 1 hour would elapse between customers? (b) What is the probability that 10 to 30 minutes would elapse between customers? (c) What is the probability that less than 5 minutes would elapse between customers?

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Answer:

Given that:

During the first few weeks, business was slow, with the store averaging only one customer every 20 minutes in the morning. Assume that the random arrival of customers is Poisson distributed.

Arrival rate ()= min

Here time arrival follows exponential with

a)  What is the probability that at least 1 hour would elapse between customers?

probability that at least 1 hour between arrivals i.e


b)  What is the probability that 10 to 30 minutes would elapse between customers?


c) What is the probability that less than 5 minutes would elapse between customers?

orchestra answered 1 year ago
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