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1- Studies show that gasoline use for compact cars sold in the United States is normally distributed, with a mean of 38 miles per gallon

1- Studies show that gasoline use for compact cars sold in the United States is normally distributed, with a mean of 38 miles per gallon (mpg) and a standard deviation of 3.5 mpg. What percentage of compacts get 45 mpg or more? (Mendenhall et al., 2015)

2- Men's height is normally distributed, with a mean of 69.0 inches and a standard deviation of 2.8 inches. Women's height is normally distributed, with a mean of 63.6 inches and a standard deviation of 2.5 inches. The United States military requires women to be between 58 and 80 inches tall. What percentage of women meet this requirement?

3- The average amount of rainfall in Puerto Rico last month was 4.5 inches, according to the National Meteorology Center. Suppose that a normal distribution can be used and that the standard deviation is 0.6 inches.

a. What percent of the time was last month's rainfall greater than 6 inches?

b. What percentage of the time was rainfall less than 4 inches?

c. A month is considered extremely humid if the rainfall is 10% higher for that month. How much rainfall must be in April to be considered an extremely humid month?

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