In Major League Baseball, the exit velocity of each batted ball is recorded, along with many other variables. Exit velocity is the speed at which a ball leaves the bat. The two-way table summarizes the association between exit velocity and outcome of a batted ball for MLB hitters over several seasons. Suppose we select one batted ball at random.

a. What is the probability that the exit velocity was 100 or more given that it was a hit?

b. What is the probability that it was a hit, given that the exit velocity was 100 or more?

c. What is the probability that it was a hit, given that the exit velocity was less than 100?

6. Suppose that you selected an adult male at random from the United States. Which of the following probabilities is larger, P(plays in NBA|over 6 feet tall) or P(over 6 feet tall|plays in NBA)? Explain your reasoning.

Exit Velocity (mph) Less than 75 75 - 99 100 or more Total Hit 3 21.4% 16 28 6 12 60% 31 34.4% Outcome of batted ball [ ) ( J t ) Out 11 (78.6%) _ 8(409-6) 59 (65.6%) Total 14(1009-3) 56 (100%) 20 (1009-3; 90 (100%)