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In Exercise 3 107 on page 108 X is the amount

In Exercise 3.107 on page 108, X is the amount of money (in dollars) that a salesperson spends on gasoline and Y is the amount of money for which he or she is reimbursed. Use the joint probability density given in that exercise and the distribution function technique to find the probability density of the random variable Z = X – Y, the amount of money for which he or she is not reimbursed.

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