Question: 15. $mathrm{X}$ is $mathrm{N}left(mu_{1}, sigma^{2} ight)$ and $mathrm{Y}$ is $mathrm{N}left(mu_{2}, sigma^{2} ight) $ and let $mathrm{Z}=mathrm{X}+mathrm{Y}$, then the distribution of $mathrm{Z} $ is: $mathrm{N}$ 16.

$15. $\mathrm{X}$ is $\mathrm{N}\left(\mu_{1}, \sigma^{2} ight)$ and $\mathrm{Y}$ is $\mathrm{N}\left(\mu_{2}, \sigma^{2}$

15. $\mathrm{X}$ is $\mathrm{N}\left(\mu_{1}, \sigma^{2} ight)$ and $\mathrm{Y}$ is $\mathrm{N}\left(\mu_{2}, \sigma^{2} ight) $ and let $\mathrm{Z}=\mathrm{X}+\mathrm{Y}$, then the distribution of $\mathrm{Z} $ is: $\mathrm{N}$ 16. For above $(Q$ 15), let $2=X$ - $Y$ then the ( distribution of $Z$ is: SP.PC. 145

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