Agas 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
y, 0< y < 1,
f(y) = 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 stati. on 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.