For certain ore samples, the proportion Y of impurities per sample is a random variable with density functionf(y) = 5 2 y 4 + y, 0 = y = 1, 0, elsewhere. The dollar value of each sample is W = 6 -...

For certain ore samples, the proportion
Y
of impurities per sample is a random variable with density functionf(y) =

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

The dollar value of each sample is W = 6 - 0.6Y. Find the mean and variance of
W. (Round your answers to four decimal places.)