Solve the exercises below according to the instructions provided for each one.

Exercise 1 (12 points)

Using the normal distribution table, answer: What is the probability that a random variable x is:

1. less than -1.00
2. less than -2.50
3. greater than 1.25
4. between 1.00 and 2.00
5. between -1.8 and 2.8
6. greater than 3.00

Exercise 2

The duration of pregnancies is normally distributed with a mean of 268 days and a standard deviation of 15 days. What will be the probability that a pregnancy lasts 308 days or more? (5 points)

Exercise 3

The United States Air Force at one time used ejection seats designed for men weighing between 140 and 211 pounds. Given that women's weights are normally distributed with a mean of 170 pounds and a standard deviation of 46, what percentage of women have weights that are within those limits? (5 points)

Exercise 4

The scores of female SAT takers are normally distributed, with a mean of 998 and a standard deviation of 202. The College of Westport requires a minimum score of 1100 as an admission requirement. What percentage of women does not meet this requirement? (5 points)

Exercise 5

The replacement time for televisions is normally distributed, with a mean of 8.2 years and a standard deviation of 1.1 years. If you want to offer a warranty so that only 1% of TVs are replaced before the warranty expires, how long should the warranty be? (5 points)