1.3) The average student loan debt for college graduates is $25,450. Suppose that that distribution is normal and that the standard deviation is $10,000. 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 $20,600 and $31,850 in student loan debt.

=_____________

c. The middle 30% of college graduates' loan debt lies between what two numbers? Low: $ ___________ High: $ __________

1.5) On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 117 and a standard deviation of 14. 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 101. _______________ Round your answer to 4 decimal places.

c. A school offers special services for all children in the bottom 6% 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: ________

1.6) 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 4.2 days to recover? _____________ d. What is the probability of spending more than 4 days in recovery? ____________ e. What is the probability of spending between 2 and 2.8 days in recovery? _________ f. The 90th percentile for recovery times is ___________ days.