Calculate the manager’s expected impatience level

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A store manager is very impatient at the start of the day. Let X be the time (in minutes) until his first customer arrives. The workers at the store decided to find a way to measure his impatience level as a function of X:

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where a, b, c are fixed constants.

a. Calculate the manager's expected impatience level.

b. Find the variance of the manager's impatience level.

Reference no: EM131400746

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