For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult tickets. Let C be the number of child tickets purchased by a single customer. The probability distribution of the number of child
tickets purchased by a single customer is given in the table below.
Com
No
с
2
0 1
0.4 0.3
3
0.1
p(c)
0.2
(a) Compute the mean and the standard deviation of C.
(b) Suppose the mean and the standard deviation for the number of adult tickets purchased by a single customer
are 2 and 1.2, respectively. Assume that the numbers of child tickets and adult tickets purchased are
independent random variables. Compute the mean and the standard deviation of the total number of adult
and child tickets purchased by a single customer.
(c) Suppose each child ticket costs $15 and each adult ticket costs $25. Compute the mean and the standard
deviation of the total amount spent per purchase.