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2. You repeatedly draw size-n samples from a r.v. that has a x2 distribution where n is pretty big. It is known that this r.v

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You repeatedly draw size-n samples from a r.v. that has a +(x2)+ distribution where n is pretty big. It is known that this r.v. has a mean of v and a variance of 2v. What is the expected value, variance, and approximate distribution of the sample mean?

The mean and standard deviation .

The sample mean is the same as the mean , v, and sample variance is 2v/n

The distribution is approximately N(v,2v/n)

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