Question: The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is for Determine the probability that (a)

The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is for Determine the probability that

(a) The customer arrives by 9:00 A.M.

(b) The customer arrives between 8:15 A.M. and 8:30 A.M.

(c) Determine the time at which the probability of an earlier arrival is 0.5.

(d) Determine the cumulative distribution function and use the cumulative distribution function to determine the probability that the customer arrives between 8:15 A.M.
and 8:30 A.M.

(e) Determine the mean and standard deviation of the number of minutes until the customer arrives.

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