1. The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 34 and a standard deviation of 9. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X ~ N( , ) b. Find the probability that a randomly selected fat calorie percent is more than 41? c. Find the minimum number for the lower quarter of percent of fat calories?

2. The average student loan debt for college graduates is $25,800. Suppose that that distribution is normal and that the standard deviation is $14,050. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X ~ N( , ) b Find the probability that the college graduate has between $17,900 and $31,050 in student loan debt. c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: High:

3. Suppose that the speed at which cars go on the freeway is normally distributed with mean 79 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( , ) b. If one car is randomly chosen, find the probability that it is traveling more than 76 mph? c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph? d. 60% of all cars travel at least how fast on the freeway?