7. If X is the amount of money in dollars) that a salesperson spends on gasoline during a day and Y is the corresponding

[answerhappygod]

7 If X Is The Amount Of Money In Dollars That A Salesperson Spends On Gasoline During A Day And Y Is The Corresponding 1 (31.26 KiB) Viewed 94 times

7. If X is the amount of money in dollars) that a salesperson spends on gasoline during a day and Y is the corresponding amount of money (in dollars) for which he or she is reimbursed, the joint PDF of these two random variables is given by f(x,y) = { { 49). (29), if 10 < x < 20 and <y<X, otherwise, 25 0, find (a) the marginal density of X and the conditional density of Y given X = 12; (b) the probability that the salesperson will be reimbursed at least $8 when spending $12. (c) the expected amount that the salesperson will be reimbursed when spending $12.