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A gasoline station gets its supply once a week. Suppose the PDF of X = demand in thousands of gallons for gasoline is: f X

A gasoline station gets its supply once a week. Suppose the PDF of X = demand in thousands of gallons for gasoline is:

fX(x)=5(1x)4I(0,1)(x)

a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b. How much gasoline must the station get from its supplier in order for the probability that its supply will be exhausted in a given week shall be 0.01?

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