Question: A random variable, X, has a Gaussian PDF with mean 5 and unit variance. We measure 10 independent samples of the random variable. (a) Determine

A random variable, X, has a Gaussian PDF with mean 5 and unit variance. We measure 10 independent samples of the random variable.
(a) Determine the expected value of the sample mean.
(b) Determine the variance of the sample mean.
(c) Determine the expected value of the unbiased sample variance.

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