Find probability that sample mean will be at least thousand


"suppose you are sampling from a population with a mean u=1,065 and standard deviation o=500. The sample size is n=100. What are the expected value and variances of the sample mean x? (x also has a - above it)I know the answer to this is E(x)=1065 (x also has a - above it)I dont know how to get that answer.

what is the probability that the sample mean will be at least 1000? Do you need to use the central limit theorism to answer this question? explain"

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Basic Statistics: Find probability that sample mean will be at least thousand
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