# Finding Area Under the Standard Normal Distribution Curve

1.)The average monthly mortgage payment including principal and interest is $982 in the United States. If the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed, find the probability that a randomly selected monthly payments is:

A. More than $1000

B. More than $1475

C. Between $800 and $1150

2.) Product Marketing: An advertising company plans to market a product to low-income families. A study states that for a particular area, the average income per family is $24,596 and the standard deviation is $6256. If the company plans to target the bottom 18% of the families based on income, find the cut-off income. Assume the variable is normally distributed.

3) What is to the right of z = 0.29

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#### Solution Preview

Hi there,

1A) ...

#### Solution Summary

The solution provides detailed explanation how to find the cutoff value for normal distribution based on the z score.