A large commercial website processes upon average 2.56 credit card payments per minute. The number X of credit card payments processed in one minute intervals can be modeled accurately with Poisson distribution.
(a) Sketch the probability mass function of X for values of X between 0 and 10
(b) We plan upon taking random sample of 36 independently chosen minutes. Determine the probability that the total number of credit cards processed in this sample would be greater than 100?
(c) Explain what significant theorem you relied on for this computation.