The following histogram shows the distribution of house values in a certain city. The mean of the distribution is $403,000 and the standard deviation is $278,000. (a) Suppose one house from the city...

Would you please show me how to solve both problems, but specifically with subpart b, how to solve it using a z score as well as how to solve it using normal cdf on a calculator (if applicable)? Thank you!

Extracted text: The following histogram shows the distribution of house values in a certain city. The mean of the distribution is $403,000 and the standard deviation is $278,000. (a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work. (b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work 0.40- 0.35- 0.30- 0.25- 0.20- 0.15- 0.10- 0.05- 0- 500 1,000 1,500 2,000 2,500 Value (thousands of dollars) Relative Frequency