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
