1. The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days. What is the z-score for a patient who takes ten days to recover?

1. The heights of the 430 National Basketball Association players were listed on team rosters at the start of the 2020-2021 season. The heights of basketball players have an approximate normal distribution with mean = 79 inches and a standard deviation = 3.89 inches. For each of the following heights, calculate the z-score and interpret it using complete sentences.

a. 77 inches b. 85 inches

1. Statistics is used quite often in lawsuits. Maury Povich, a talk-show host, was recently sued for conducting improper paternity tests on his show. Yes, this was an article in the LA Times. An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 240 to 306 days before the birth of the child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention.
   1. What is the probability that he was NOT the father?
   2. What is the probability that he could be the father?

HINT: Calculate the z-scores first, and then use those to calculate the probability.