Question: Consider a population with mean = 50 and standard deviation = 4. Let X1,X2,...,X10X1,X2,...,X10 be a random sample and let XX the sample mean. Find

Consider a population with mean = 50 and standard deviation = 4. Let X1,X2,...,X10X1,X2,...,X10 be a random sample and let XX the sample mean. Find the expected value and standard deviation of XX. Do you know the probability distribution of XX ? Clearly state any necessary assumption.

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