Three barbers work at a barbershop. Based on estimations, the barbershop is idle 1 time out...

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Three barbers work at a barbershop. Based on estimations, thebarbershop is idle 1 time out of 15; 2/15 of the time there is onecustomer; 3 times out of 15 there are two customers; and 4/15 ofthe time, there are three customers. Each customer yields a netrevenue of 10 dollars.

Let X be a random variable defined as the number ofcustomers

a) Determine the probability distribution of X

b) Determine the cumulative distribution function of X

c) Calculate the probability that: i) All three barbers areworking. ii) At least one of the barbers is working

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Total number of barbers 3Probability of barber shop being Idle or 0    See Answer
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