Question

The proportion of impurities in certain ore samples is a random variable Y with a density...

The proportion of impurities in certain ore samples is a random variable Y with a density function given by

f(y) =

3
2
y2 + y,    
0 ≤ y ≤ 1,
0,     elsewhere.

The dollar value of such samples is U = 3 − Y/8


. Find the probability density function for U
.

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