For certain ore samples, the proportion Y of impurities per sample is a random variable with density function
$f(y) = \begin{cases} 7 \\ 2y^6 + y, & 0 \le y \le 1, \\ 0, & \text{elsewhere.} \end{cases}$
The dollar value of each sample is $W = 7 - 0.7Y$. Find the mean and variance of $W$. (Round your answers to four decimal places.)
$E(W) = \text{ }
V(W) = \text{ }
4. [-/1 Points]
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WACKERLYSTAT7 4.3.031.
Daily total solar radiation for a specified location in Florida in October has a probability density function given by
$f(y) = \begin{cases} \frac{3}{4}(y-4)(6-y), & 4 \le y \le 6, \\ 0, & \text{elsewhere,} \end{cases}$
with measurements in hundreds of calories. Find the expected daily solar radiation for October, in hundreds of calories.
$E(Y) = \text{ } $ hundred calories
