Question

6. The number of customers arriving a small bank is assumed to follow a Poisson process with a rate of 7 people per hours, between 9am to 5pm. What is the chance that there will just one customer to come between 10 to 10:30am? (b) What is the chance that there will be one customer to come between 10 to 10:30am and two will come between 10:30 to 11am? (c) Let X count the number of customers that come between 10 to 10:30 am and between 11 to 11:30am. What is the distribution of X? Compute P(X = 0).

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