There is 0.02% probability that a credit card holder of a company reports the loss or theft of the credit card each month. The company has 15,000 credit cards in Memphis. Use the Poisson distribution to answer the following questions.

What is the probability that during the next month in Memphis:

a. no one reports the loss or theft of his or her credit cards?

b. six people report the loss or theft of their cards?

c. at least nine people report the loss or theft of their cards?

d. Determine the expected number of reported lost or stolen credit cards.

e. Determine and the standard deviation for the number of reported lost or stolen cards.