A town has 500 real estate agents. The mean value of the properties sold in a year by these agents is $1,000,000, and the standard deviation is $400,000. 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 $1,032,000? c. What is the probability that the sample mean exceeds $980,000? d. What is the probability that the sample mean is between $975,000 and $1,020,000? Click on the icon to view the standard normal table. . . . a. The sampling distribution of X has a mean of E (X) = p. When the sample size n is not small compared to the N-n population size N, then the standard error of X is ox N-1 Find the mean of the sampling distribution for the sample means. E (X) = 1,000,000 Use the given values to calculate the standard error of the sampling distribution for the sample mean, rounding to the nearest integer. N- n = 35,813 N- 1