The cost of living increase in Seattle has been a concern. based on recent data, the average home in Seattle is $780,000 with a standard deviation of $ 10,000. some curious UW students want to see if these high prices were realistic. they decided to take a sample of 300 homeowners about the value of their home and are trying to make predictions about what their sample values will be base on the population data find the following:

A. Probability the sample mean of the random sample is between $765,000 and $797,000.

B. probability the sample mean of the random Samples is less than $802,000.

C. how big of a sample size would the UW students need if they wanted to reduce the standard deviation to $7,000