Question

For certain ore samples, the proportion Y of impurities per sample is a random variable with...

For certain ore samples, the proportion Y of impurities per sample is a random variable with density function

f(y) =

5
2
y4 + y,  
0 ≤ y ≤ 1,
0, elsewhere.

The dollar value of each sample is

W = 8 − 0.8Y.

Find the mean and variance of W. (Round your answers to four decimal places.)

E(W) = V(W) =

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