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# Problem 3. The sample mean points possible (graded)Let X be a continuous random variable We know that it takes values between 0 and 6, but we do not know its distri...

## Question

###### Problem 3. The sample mean points possible (graded)Let X be a continuous random variable We know that it takes values between 0 and 6, but we do not know its distribution or its mean and variance; although we know that its variance is at most 4. We are interested in estimating the mean of X , which we denote by h. To estimate h, we take n ii.d. samples X1, Xz, which all have the same distribution as X, and compute the sample meanH =iEx

Problem 3. The sample mean points possible (graded) Let X be a continuous random variable We know that it takes values between 0 and 6, but we do not know its distribution or its mean and variance; although we know that its variance is at most 4. We are interested in estimating the mean of X , which we denote by h. To estimate h, we take n ii.d. samples X1, Xz, which all have the same distribution as X, and compute the sample mean H = iEx

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