Calculate P(0), P(1), P(2), P(3), P(4), P(5), P(6), and P(>6) for a Poisson variable with a mean of 1.2. Using this probability distribution determine the mean and variance. In a machine shop the...

Calculate P(0), P(1), P(2), P(3), P(4), P(5), P(6), and P(>6) for a Poisson variable with a mean of 1.2. Using this probability distribution determine the mean and variance.

In a machine shop the average number of machines out of operation is two. Assuming a Poisson distribution for machines out of operation, calculate the probability that at any one time there will be:

(a) Exactly one machine out of operation

(b) More than one machine out of operation.