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! The following histogram shows the distribution of house values in a certain city. Themean 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 toestimate the probability that the selected house is valued at less than $500,000. Showyour work.(b) Suppose a random sample of 40 houses are selected from the city. Estimate theprobability that the mean value of the 40 houses is less than $500,000. Show your work0.40-0.35-0.30-0.25-0.20-0.15-0.10-0.05-0-5001,0001,5002,0002,500Value (thousands of dollars)Relative Frequency

Let X be the house values in certain city. Here, X follows normal distribution with mean $403000 and…

Answered: The following histogram shows the…

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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!

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

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