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In: Statistics and Probability

A town has 500 real estate agents. The mean value of the properties sold in a...

A town has 500 real estate agents. The mean value of the properties sold in a year by these agents is 650,000​, and the standard deviation is 200,000. A random sample of 100

agents is​ selected, and the value of the properties they sold in a year is recorded.

a. What is the standard error of the sample​ mean?

b. What is the probability that the sample mean exceeds 656,000​?

c. What is the probability that the sample mean exceeds 631,000​?

d. What is the probability that the sample mean is between 634,000

and 660,000​?

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