1) The height of an adult male in the United States is approximately normally distributed with a mean of 69.3 inches and a standard deviation of 2.8 inches.

Assume that such an individual is selected at random. What is the probability that his height will be greater than 67 inches?

Round your answer to 4 decimal places.

2) The height of an adult male in the United States is approximately normally distributed with a mean of 69.3 inches and a standard deviation of 2.8 inches.

Assume that such an individual is selected at random. What is the probability that his height will be between 65.5 inches and 73.7 inches?

Round your answer to 4 decimal places.

3) The height of an adult male in the United States is approximately normally distributed with a mean of 69.3 inches and a standard deviation of 2.8 inches.

Find the percentile P72for the heights of adult males in the United States.

Provided your answer in inches, rounded to 2 decimal places.

4) A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 313 and a standard deviation of 42.

What proportion of students taking the exam receive a score less than 360?

Round your answer to 4 decimal places.

5) A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 302 and a standard deviation of 48.

What proportion of students taking the exam receive a score greater than 361?

Round your answer to 4 decimal places.

6)A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 311 and a standard deviation of 46.

What proportion of students taking the exam receive a score that is within 78 points of the mean?

Round your answer to 4 decimal places.

7)A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 313 and a standard deviation of 48.

Find the percentile P94for the scores of students taking the exam.

Round your answer to 2 decimal places.

8) Salaries for entry level employees working in a certain industry are normally distributed with a mean of $38948 and a standard deviation of $1798.

What proportion workers in this industry have entry level salaries greater than $40,000?

Round your answer to 4 decimal places.

9) Salaries for entry level employees working in a certain industry are normally distributed with a mean of $39470 and a standard deviation of $1858.

What proportion workers in this industry have entry level salaries between $36,000 and $40,000?

Round your answer to 4 decimal places.

10) Salaries for entry level employees working in a certain industry are normally distributed with a mean of $38591 and a standard deviation of $1640.

Find the percentile P63for entry level salaries of employees working in this industry.

Round your answer to 2 decimal places.