A gas station operates two pumps, each of which can pump up to 10,000 gallons of gas in
Chapter 4, Problem 4.14(choose chapter or problem)
A gas station operates two pumps, each of which can pump up to 10,000 gallons of gas in a month. The total amount of gas pumped at the station in a month is a random variable Y (measured in 10,000 gallons) with a probability density function given by f (y) = y, 0 < y < 1, 2 y, 1 y < 2, 0, elsewhere. a Graph f (y). b Find F(y) and graph it. c Find the probability that the station will pump between 8000 and 12,000 gallons in a particular month. d Given that the station pumped more than 10,000 gallons in a particular month, find the probability that the station pumped more than 15,000 gallons during the month.
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