Let the random variable $Y$ have the following density:
$$f(y) = \frac{1+\beta y}2, -1 \le y \le 1, -1 \le \beta \le 1$$
Find $E(Y)$ and $V(Y)$.
Can anyone help me with this problem?
2026-03-26 02:58:13.1774493893
How to calculate expected value and variance of a random variable
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$E(Y^k)=\int_{-1}^1y^kf(y)dy$. $V(Y)=E(Y^2)-E(Y)^2$. I presume you can do the calculations.