Suppose you have a sample of n observations of z. z follows a Normal distribution N. Suppose you also have n observation

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Suppose you have a sample of n observations of z. z follows a Normal distribution N. Suppose you also have n observation

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Suppose you have a sample of n observations of z. z follows a
Normal distribution N.
Suppose you also have n observations on x - N(.
x is uncorrelated with z. you sum x to z to obtain y=x+z. What is
the mean, variance and distribution of y.
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