Question: A continuous random variable is normally distributed with a mean of 250 and a standard deviation of 40. Then multiple samples with size 64 were

A continuous random variable is normally distributed with a mean of 250 and a standard deviation of 40.

Then multiple samples with size 64 were taken.Find the probability that the samples mean will be:

a) less than 244

b) greater than 252

(Tip: apply Central Limit Theorem and Normal distribution

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