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# 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

Hi there,

1A) ...

#### Solution Summary

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

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