In the fresh fruits and vegetables section of a Kroger grocery store, customers can purchase any desired amount (by placing the food in a plastic bag to be weighed and/or priced at the checkout line)....

In the fresh fruits and vegetables section of a Kroger grocery store, customers can purchase any desired amount (by placing the food in a plastic bag to be weighed and/or priced at the checkout line). For those people who purchase cucumbers, the probability distribution for the number purchased is given in the table below

A drive-in movie theater charges viewers by the carload, but keeps careful records of the number of people in each car. The probability distribution for the number of people in each car entering the drive-in is given in the table below.

a. Suppose two cars entering the drive-in are selected at random. Find the exact probability distribution for the maximum number of people in either one of the cars, M.

b. Find the mean, variance, and standard deviation of M