Question

The proportion of impurities per batch in a chemical product is a random variable Y with...

The proportion of impurities per batch in a chemical product is a random variable Y with density function

f(y) = 12y2(1 − y), 0 ≤ y ≤ 1,

0, elsewhere

. Find the mean and variance of the percentage of impurities in a randomly selected batch of the chemical.

E(Y) = ??:

. V(Y) =??

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