A random variable xhas an unknown mean and known variance 4, Ask an Expert

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A random variable Xhas an unknown mean and known variance 4. How large a random sample should one take if the probability is to be at least 0.95 that the sample mean will not differ from the true mean E[X} by (i) more than 0.1, (ii) more than 10% of the standard deviation of X. (iii) more than 10 % of the true mean of X, if the true mean of X is known to be greater than 10.

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