Question: 9. A random sample of size n = 50 is taken from a population with mean = 9.5 and standard deviation = 2. a. Calculate

9. A random sample of size n = 50 is taken from a population with mean = 9.5 and standard deviation = 2.

a. Calculate the expected value and the standard deviation for the sampling distribution of the sample mean.

b. What is the probability that the sample mean is less than 10?

c. What is the probability that the sample mean falls between 10 and 9?

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