Agas station operates two pumps, each of which can pump up to 10,000 gallons of gas in a month. the total of gas pumped at the station in a month is a random variable y (measured in 10,000 gallons) with a probability density function (p. d.f.) given by compute e(y)

Given that a gas station operates two pumps, each of which can pump up to 10,000 gallons of gas in a month and that the total of gas pumped at the station in a month is a random variable y (measured in 10,000 gallons) with a probability density function (p.d.f.) given by



Part A:

The value of c that makes f(y) a pdf is obtained as follows:



Part B:

We compute E(y) as follows:



Therefore, E(y) = 1.

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