random signals question

A statistician wants to estimate the mean height h (in meters) of a population, based on n independent samples X1, middot middot middot , Xn, choose uniformly from the entire population. He uses the sample mean Mn = (X1 + X2 + …, Xn)/n as the estimate of h. We also assume that he knows Var(Xi) = 0.5 (meter2).How large should n be so that the variance of Mn is at most 10-4.Please use the weak law of large numbers, i.e., to answer that how large n should be so that the estimate is within 0.05 meter from h, with probability at least 0.9?

We are always aiming to provide top quality academic writing services that will surely enable you achieve your desired academic grades. Our support is round the clock!

Type of paper Academic level Subject area
Number of pages Paper urgency Cost per page: