Question: Statistics from the 2009 Major League Baseball season show that there were 157 players who had at least 500 plate appearances. For this group, 42 players had a batting average of .300 or higher. 53 players hit 25 or more home runs. and 14 players had a batting average of .300 or higher and hit 25 or more home runs. Only four players had 200 or more hits (ESPN website. January 10. 2010). Use the 157 players who had at least 500 plate appearances to answer the following questions.
a. What is the probability that a randomly selected player had a batting average of .300 or higher?
b. What is the probability that a randomly selected player hit 25 or more home runs?
c. Are the events "having a batting avenge of .300 or higher" and "hitting 25 or more home runs" mutually exclusive?
d. What is the probability that a randomly selected player had a batting average of .300 or higher or hit 25 or more home runs?
e. What is the probability that a randomly selected player had 200 or more hits? Does obtaining 200 or more hits appear to be more difficult than hitting 25 or more home runs? Explain.