Question: Y1, ...... , Yn are iid random variables. The variance of Yi is between 9 and 11, but we don't know the mean of Yi.

Y1, ...... , Yn are iid random variables. The variance of Yi is between 9 and 11, but we don't know the mean of Yi. We want to estimate the mean of Yi by calculating (Y1+......+Yn)/n. The estimated mean of Yi needs to be within 0.1 of the actual value with probability of at least 0.99.

What is the value of n?

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