Assume that customer arrivals at a barber shop are random and independent of one another, and...

Assume that customer arrivals at a barber shop are random and independent of one another, and the number of customer arrivals at a barber shop and the time until the next customer arrives is independent.

(a) In city A, on average, 3 customers arrive at a barber shop every hour. Using an appropriate probability distribution,

(i) find the probability that at least 5 customers arrive at a barber shop every hour.

(ii) A sample of 25 barber shops in city A was obtained. Find the probability that at least 3 barber shops were visited by at least 5 customers.

(iii) A customer has just arrived in a barber shop. Find the probability that the time, until the next customer arrives will be at most 2 hours (from now).

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orchestra answered 1 year ago

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