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A gravel supplier has 4 tons of gravel on hand each day. The cdf for the...

A gravel supplier has 4 tons of gravel on hand each day. The cdf for the amount of gravel sold is
F(x) = 0 if x < 0
F(x) = (x4 + x)/260 if  4
F(x) = 1 if x > 4

Answer the following two questions, rounding your answer to 3 decimals

a)What is the expected tons of gravel sold in a day?

b)What is the probability that the supplier sells more than half of its inventory in a day?

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