Question: When answering the parts of this problem, please use for your state the mean and standard deviation, that are displayed in Part 11 of your spreadsheet, as estimates for \(\mu \) and \(\sigma \), and assume that the trimmed prices for your state are normally distributed. Make this assumption even if the distribution of the trimmed prices is still slightly skewed and/or still contains any outliers (hopefully just mild, not extreme).

a. Find the probability that a randomly selected home (from all the homes that are not considered to be too much of an outlier if at all) in your state has an advertised selling price of over $250,000.

b. Find the probability that a randomly selected home (from all the homes that are not considered to be too much of an outlier if at all) in your state has an advertised selling price of less than $250,000.

c. Find the probability that a randomly selected home (from all the homes that are not considered to be too much of an outlier if at all) in your state has an advertised selling price of between $150,000 and $250,000.