The probability density function of the time you arrive at a terminal (in minutes after 8:00 a. m.) is f left-parenthesis x right-parenthesis equals StartStartFraction e Superscript negative StartFraction x Over 16EndFraction Baseline OverOver 16EndEndFraction for 0 less-than x. Determine the following probabilities.
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.
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