Probability question



Hi,

can anybody help with the question below?

A gas station operates two pumps, each of which can pump up to 10000
gallons in a month. The total amount of gas pumped at the station in a
month is a continuous random variable X (measured in 10000 gallons)
with a probability density function given by

f(x) = x, 0<x<1
f(x) = 2 - x, 1<=x<2
f(x) = 0, elsewhere.
(a) Find the cumulative distribution F(x).
(b) Find the probability that the station will pump between 8000 and
12000 gallons in a particular month.

thanks

.



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