The probability density function of the time you arrive at a terminal (in minutes after 8:00 a.m.) is f(x)=(e^(-x/17))/17 for 0 < x. Determine the following probabilities.
Round the answers to 3 decimal places (e.g. 98.765).
a) You arrive by 9:00 A.M.
b) You arrive between 8:15 A.M. and 8:30 A.M.
c) You arrive before 8:10 A.M. on two or more days of five days. Assume that your arrival times on different days are independent.