1) Scores on an endurance test for cardiac patients are normally distributed with a mean of 185 and a standard deviation of = 8.
a. What is the probability a patient will score below 190?
b. What is the probability a patient will score above 185?
c. What is the probability a patient will score above 190?
2) It is estimated that 20% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 85% accurate. Determine the probability that an athlete who tests positive is actually a user.
3) According to the Spring 2015 issue of the periodical /to Population Growth, the U.S. leads the fully industrialized world in teen pregnancy rates, with 25% of U.S. females getting pregnant at least once beibre the age of 20. Suppose that 8 U.S. females are selected at random. Find the probability that the number who have been pregnant at least once before age 20 will be:
a. zero
b. one or two
4) Past experience has shown that cars arrive at Carla's Muffler shop on Fridays at the rate of three every hour. The manager wants to plan his service department needs for midday next Friday, would like to know the probability of each of the following:
a. No cars will arrive between 12 PM and 1 PM.
b. Exactly three cars will arrive between 1 PM and 2 PM.