The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean selling price of $275,000 and a standard deviation of $10,500.
If 35 homes sell in this neighborhood, what is the probability that the average selling price of the 35 homes will
be within $2000 of the true mean (that is, what is the probability the sample mean will be between $273,000
and $277,000)?
Include four decimal places in your answer.