The heights of adult men in the U.S. are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches.
1. Which of the following would be the most unusual height?
- 61"
- 78.5"
- 65"
- 77"
2. What is the probability that a randomly chosen adult U.S. man is less than 65 inches tall?
3. What is the probability that a randomly chosen adult U.S. man is greater than 65 inches tall?
4. What is the probability that a randomly chosen adult U.S. man is between 65 inches and less than 72 inches tall?
5. Find the 95th percentile? That is, 95% of all men are shorter than what height?
6. 5% of all men are taller than what height