Refer to the Baseball 2018 data, which reports information on the 30 Major League Baseball (MLB) teams for the 2018 season.

a. In the Major Baseball League, each team plays 162 games in a season. A rule-ofthumb is that 90 or more wins in a season qualifies a team for the post-season playoffs. To summarize the 2018 season, create a frequency table of wins. Start the first class at 40 and use a class interval of 10.

a. What is the probability that a team wins 90 or more games?

b. In the playoffs, only 10 teams can enter the playoffs. Based on the 2018 season, what is the probability that a team that wins 90 or more games makes the playoffs?

c. Make a statement based on your responses to parts (a) and (b).

b. Presently the National League requires that all fielding players, including pitchers, take a turn to bat. In the American League, teams can use a designated hitter (DH) to take the pitcher’s turn to bat. For each league, create a frequency distribution and a relative frequency distribution of teams based on the season total of home runs. For the frequency distributions, start the first class at 120 home runs and use a class interval of 30.

a. In the American League, what is the probability that a team hits 180 or more home runs?

b. In the National League, what is the probability that a team hits 180 or more home runs?

c. Make statements comparing the two distributions.

Data From Baseball 2018:

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Team League Year Opened Team Salary Attendance Wins ERA ВА HR Net Worth Arizona Diamondbacks National 1998 143.32 2.243 82 3.72 0.235 176 1.210 Atlanta Braves National 2017 130.6 2.556 90 3.75 0.257 175 1.625 Baltimore Orioles American 1992 127.63 1.564 47 5.18 0.239 188 1.200 Boston Red Sox American 1912 227.4 2.896 108 3.75 0.268 208 2.800 3.65 4.84 167 Chicago Cubs Chicago White Sox National 1914 194.26 3.181 95 0.258 2.900 American 1991 71.84 1.609 62 0.241 182 1.500 Cincinnati Reds National 2003 100.31 1.629 67 4.63 0.254 172 1.010 Cleveland Indians American 1994 142.8 1.927 91 3.77 0.259 216 1.045 Colorado Rockies National 1995 143.97 3.016 91 4.33 0.256 210 1.100 Detroit Tigers American 2000 130.96 1.857 64 4.58 0.241 135 1.225 205 155 Houston Astros American 2000 163.52 2.981 103 3.11 0.255 1.650 Kansas City Royals Los Angeles Angels Los Angeles Dodgers Miami Marlins American 1973 129.94 1.665 58 4.94 0.245 1.015 American 1966 173.78 3.020 80 4.15 0.242 214 1.800 National 1962 199.58 3.858 92 3.38 0.25 235 3.000 National 2012 91.82 0.811 63 4.76 0.237 128 1.000 Milwaukee Brewers National 2001 108.98 2.851 96 3.73 0.252 218 1.030 Minnesota Twins American 2010 115.51 1.959 78 4.50 0.25 166 1.150 New York Mets National 2009 150.19 2.225 77 4.07 0.234 170 2.100 New York Yankees American 2009 179.6 3.483 100 3.78 0.249 267 4.000 Oakland Athletics American 1966 80.32 1.574 97 3.81 0.252 227 1.020 Philadelphia Phillies Pittsburgh Pirates San Diego Padres San Francisco Giants National 2004 104.3 2.158 80 4.14 0.234 186 1.700 National 2001 91.03 1.465 82 4.00 0.254 157 1.260 National 2004 101.34 2.169 66 4.40 0.235 162 1.270 American 2000 205.67 2.299 89 4.13 0.254 176 2.850 Seattle Mariners National 1999 160.99 3.156 73 3.95 0.239 133 1.450 St. Louis Cardinals Tampa Bay Rays Texas Rangers Toronto Blue Jays Washington Nationals National 2006 163.78 3.404 88 3.85 0.249 205 1.900 American 1990 68.81 1.155 90 3.74 0.258 150 0.900 American 1994 140.63 2.107 67 4.92 0.24 194 1.600 American 1989 150.95 2.325 73 4.85 0.244 217 1.350 National 2008 181.38 2.530 82 4.04 0.254 191 1.675