Please answer the following questions.

1. A worker in the automobile industry works an average of 42.2 hours per week. If the distribution is approximately normal with a standard deviation 1.4 of hours, what is the probability that a randomly selected automobile worker works less than 40hours per week? Use a TI-83 Plus/TI-84 Plus calculator. Round the answer to at least four decimal places.

2. The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probabilities. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.

• A randomly selected teacher earns more than $41,000 a year.

3. For a certain group of individuals, the average heart rate is 73 beats per minute. Assume the variable is normally distributed and the standard deviation is 2 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use a graphing calculator. Round the answers to four decimal places.

• Between 70 and 74 beats per minute.

4. Americans drank an average of 23.2 gallons of bottled water per capita in 2004. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the following probabilities. Use a graphing calculator and round the answers to four decimal places.

• Between 18 and 29 gallons of bottled water.