A: Random Variables: EV, Variance, Combinations
\begin{equation*}
Let \ f(y) = \begin{cases}
\frac{3}{2}(y-7) & 7 < y < 8 \\
\frac{1}{4} & 8 \le y \le 9
\end{cases}
\end{equation*} What is the expected value of Y?
7.875
Attempt #1: 1/1 (Score: 1/1)
Allowed attempts: 3
Correct
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Suppose $Y_1, Y_2, \dots, Y_5$ are independent random variables that each have pdf $f(y)$. Find the variance of $\bar{Y} = \frac{1}{5}\sum_{i=1}^5 Y_i$
0.05208
Attempt #2: 0/1 (Score: 0/1)
Allowed attempts: 3
Incorrect
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What is the variance of $3Y_5$?
Allowed attempts: 3
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