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For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult...

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.

c 0 1 2 3
p(c) 0.4 0.3 0.2 0.1

a) Compute mean and standard deviation of C.

b) Suppose the mean and 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 independant random variables. Compute the mean and 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 standard deviation of the total amount spent per purchase.

Math   Statistics-And-Probability   
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