This activity involves finding the probability of breaking a homerun record using simulations and the binomial probability formula. Just how unusual was it when Mark McGuire broke the homerun record in 1998? In 1998 the baseball world was enthralled by the epic chase of Mark McGuire and Sammy Sosa to surpass the single-season homerun record of 61 set by Roger Maris in 1961. 1. a. Prior to his prolific 1998 season in which he shattered Roger Maris' single season homerun record of 61 by hitting 70 "round-trippers," Mark McGuire averaged 1 homerun every 11.9 at-bats. Assuming this rate of homerun hitting applied to the 1998 season, determine the probability McGuire hits a homerun during a randomly selected at-bat in 1998. probability = 0. 084 = 8.4.1. b. Open the Baseball Applet at www.pearsonhighered.com/sullivanstats or from StatCrunch, open the Coin Flipping Applet. Enter the probability determined in part (a) in the "Probability of heads" cell. Under the number of coins, enter 600 to represent the typical number of at-bats during the season for a starting player. Run a total of 20 repetitions by clicking "5 runs" four times. What does each of these 20 repetitions represent? 20 Samples of boo at bats laka one season for mcguire) Based on the graph, how many of the repetitions result in 62 or more homeruns (indicating Maris' record is broken)? Only one C. There are a number of players who have averaged 1 homerun every 11.9 at-bats since Maris set his record. Increase the number of repetitions to 1,000 with the number of tosses at 600. What does each of these 1,000 repetitions represent? 1000 random samples of the homeruns hit by a player with an average of 1 homerun in 11.9 at- bats d. In the cell "As extreme as," enter 2 62 and select "Count." This will allow us to determine the likelihood of a player hitting 62 or more homeruns in a season to break Maris' record 066