Question: A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of

A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above.

Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.)

Question 1 options:

a) Yes, and the calculated probability would be exact.

b) Yes, and the calculated probability would be approximate.

c) No.

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