1)

A research study of female athletes at a university in San Diego is conducted (survey costs: $659,332). There is a 0.552 probability an althete is a soccer player. There is a 0.207 probability an athlete is a basketball player. There is a 0.068 probability that an athlete is both a soccer and basketball player.

i) Draw a complete and accurate contingency table that shows this information. Label the rows and columns appropriately. ii) What is the probability that an athlete is a soccer player or a basketball player? Round probabilities to three decimal places.Write your answer in complete sentence form using the correct context and numbers.

2)A Phoenix deparment has a rule (policy# 658b732) of replacing cars after a time; the rule considers service time, miles per trip, the make/modl, age of the car, etc. The distribution of the number of service months for a group of autos has a normal distribution with a mean of 42 months and a standard deviation of 4.

(i) Sketch an accurate normal distribution curve that is labeled correctly with given/generated quantities according to the 68-95-99.7 rule. Your sketch must include a shaded region that corresponds to your answer.

(ii) What is the approximate percentage of the autos in the group that have between 38 and 54 of months in service? Write your answer in complete sentence form using the correct context and numbers. Solve using the 68-95-99.7 Rule