1.) The average student loan debt for college graduates is $25,500. Suppose that that distribution is normal and that the standard deviation is $13,150. 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 $27,500 and $36,800 in student loan debt. ________________

c. The middle 20% of college graduates' loan debt lies between what two numbers? Low: $ High: $

2.) The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 35 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 38. ________________ c. Find the minimum number for the lower quarter of percent of fat calories. ___________________

3.) On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 115 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N(________,___________) b. Find the probability that a randomly selected person's IQ is over 90. _______________ Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQ score a child can have and still receive special services? _____________ Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Q3: IQR:

4.) The patient recovery time from a particular surgical procedure is normally distributed with a mean of 3 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(________,___________) b. What is the median recovery time? ___________ days c. What is the Z-score for a patient that took 4 days to recover? d. What is the probability of spending more than 2.6 days in recovery? e. What is the probability of spending between 2.3 and 3.2 days in recovery? f. The 80th percentile for recovery times is days.