A typical incoming telephone call to your catalog sales force results in a mean order of $ 28.63 with a standard deviation of $ 13.91. You may assume that orders are received independently of one another.
a. Based only on this information, can you find the probability that a single incoming call will result in an order of more than $ 40? Why or why not?
b. An operator is expected to handle 110 incoming calls tomorrow. Find the mean and standard deviation of the resulting total order.
c. What is the approximate probability distribution of the total order to be received by the operator in part b tomorrow? How do you know?
d. Find the (approximate) probability that the operator in part b will generate a total order of more than $ 3,300 tomorrow.
e. Find the (approximate) probability that the operator in part b will generate an average order between $ 27 and $ 29 tomorrow.