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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 ​$900,000​, 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 ​$917,000​?

c. What is the probability that the sample mean exceeds ​$884,000​?

d. What is the probability that the sample mean is between ​$885,000 and ​$905,000​?

Math   Statistics-And-Probability   
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