True or False: If (X) and (Y) are independent random variables with expected values and variances of

Question:

True or False: If $X$ and $Y$ are independent random variables with expected values and variances of $\mathrm{E}(\mathrm{X}), \mathrm{E}(\mathrm{Y}), \mathrm{V}(\mathrm{X})$, and $\mathrm{V}(\mathrm{Y})$, respectively, then the expected value of the product of $X$ and $Y$ is equal to $E(X) E(Y)$ and the variance of the product of $\mathrm{X}$ and $\mathrm{Y}$ is equal to $\mathrm{V}(\mathrm{X}) \mathrm{V}(\mathrm{Y})$.

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