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Mathematics, 05.05.2020 20:35 Animallover100

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 i. i.d. samples X1,…,Xn , which all have the same distribution as X , and compute the sample mean H=1n∑i=1nXi. Express your answers for this part in terms of h and n using standard notation.

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