In the year 2022, monthly mortgage payments for single-family homes in a southern state in the United States were normally distributed with a mean of $1750 and standard deviation of $360. a. Suppose a random sample of 25 mortgage payments is selected. What is the probability that the mean of the sample is greater than $2000? b. Suppose a random sample of 50 mortgage payments is selected. What is the probability that the mean of the sample is less than $1820?

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