Question: Geoffrey does not like to be low on gas, so he randomly stops to fill up his tank. He has a 14-gallon tank, and the

Geoffrey does not like to be low on gas, so he randomly stops to fill up his tank. He has a 14-gallon tank, and the current price of gas is $3.75 per gallon. Whenever he stops to buy gas, he always buys a candy bar for $1.30. If X is the amount of gas (in gallons) in his tank when he stops for a purchase, then fx(x) = 1/14 for 0 ≤ x ≤ 14, and fx(x) = 0 otherwise. He always fills the tank, so he will always buy 14 - X gallons. Find the expected amount of money Geoffrey spends on a purchase of gas and a candy bar.

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