Question

Frequent fliers of a particular airline fly a random number of miles each year, having mean and standard deviation (in thousands of miles) of 23 and 11, respectively. As a promotional gimmick, the airline has decided to randomly select 20 of these fliers and give them, as a bonus, a check of $10 for each 1000 miles flown. Approximate the probability that the total amount paid out if a. Between $4500 and $5000 b. More than $5200.

Answer 1