1.) A company has a policy of retiring company cars; this policy looks at number of miles driven. purpose of trips, style of car amd other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and had a mean of 52 months amd a standard deviation of 7 months. Using the empirical rule, what is the approximate percentage of cars that remain in service between 59 and 66 months?2.) The combination SAT scores for the students at a local high school are normally distributed with a mean of 1549 amd a standard deviation of 292. The local college includes a minimum score of 2367 in its admission requirements. what percentage of students from this school earn scores that fail to satisfy the admission requirement? P(X-2367)3.)For a standard normal distribution, find: P(z>c)=0.3443 Find C.4.) Assume that at the average age of a population of wild turtles is normally distributed with mean age 15 years, and standard deviation 3 years. What is the age of a turtle who isat the 50 percentile.5.) A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is show below, from which we can see that the speeds of these fastballs follow a normal model with a mean of 92.12mph and a standard deviation of 2.43mph.

Compute the z-score of pitch with speed 95.2 mph. (Round your answer to two decimal places.) Approximately what proportion of these four-seam fastballs would you expect to have speeds between a9. mph and 94.1 mph? (Round to three decimal places.) Approximately what proportion of these four seam fastballs would you expect to have speeds below $9,! Imph? (Round to three decimal places.) A baseball fan wishes to identify the four-seam fastballs among the fastest 2:" of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest a? ? (Round you lanes ver the nearest 0. 1 mph.) moh