What is the variance of the sample mean of numbers produced, Basic Statistics

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What is the variance of the sample mean of numbers produced

A random number generator produces three-digit random numbers that are uniformly distributed between 0.000 and 0.999.

a. If the generator produces the sequence of numbers 0.276, 0.123, 0.072, 0.324, 0.815, 0.312, 0.432, 0.283, 0.717, what is the sample mean?

b. What is the variance of the sample mean of numbers produced by the random number generator?

c. How large should the sample size be in order to obtain a sample mean whose standard deviation is no greater than 0.01?

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