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Refer to the Baseball 2016 data. Compute the mean number of home runs per game. To do this, first find the mean number of home
Refer to the Baseball 2016 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2016. Next, divide this value by 162 (a season comprises 162 games). Then multiply by 2 because there are two teams in each game. Use the Poisson distribution to estimate the number of home runs that will be hit in a game. Find the probability that: There are no home runs in a game. There are two home runs in a game. There are at least four home runs in a game.
Key
Team = Team's name | |||||
League = American or National League | |||||
Year Opened = First year the team's stadium was used | |||||
Team Salary = Total team salary expressed in millions of dollars | |||||
Attendance = Total number of people attending regular season games | |||||
Wins = Number of regular season games won | |||||
ERA = Team earned run average | |||||
BA = Team batting average | |||||
HR = Team home runs | |||||
Year = Year of operation | |||||
Average salary = Average annual player salary in dollars |
Team | League | Opened | Team Salary | Attendance | Wins | ERA | BA | HR | Year | Average Salary | |||
Arizona | National | 1998 | 65.80 | 2080145 | 79 | 4.04 | 0.264 | 154 | 2000 | 1.99 | |||
Atlanta | National | 1996 | 89.60 | 2001392 | 67 | 4.41 | 0.251 | 100 | 2001 | 2.26 | |||
Baltimore | American | 1992 | 118.90 | 2281202 | 81 | 4.05 | 0.25 | 217 | 2002 | 2.38 | |||
Boston | American | 1912 | 168.70 | 2880694 | 78 | 4.31 | 0.265 | 161 | 2003 | 2.56 | |||
Chicago Cubs | National | 1914 | 117.20 | 2959812 | 97 | 3.36 | 0.244 | 171 | 2004 | 2.49 | |||
Chicago White Sox | American | 1991 | 110.70 | 1755810 | 76 | 3.98 | 0.25 | 136 | 2005 | 2.63 | |||
Cincinnati | National | 2003 | 117.70 | 2419506 | 64 | 4.33 | 0.248 | 167 | 2006 | 2.87 | |||
Cleveland | American | 1994 | 87.70 | 1388905 | 81 | 3.67 | 0.256 | 141 | 2007 | 2.94 | |||
Colorado | National | 1995 | 98.30 | 2506789 | 68 | 5.04 | 0.265 | 186 | 2008 | 3.15 | |||
Detroit | American | 2000 | 172.80 | 2726048 | 74 | 4.64 | 0.27 | 151 | 2009 | 3.24 | |||
Houston | American | 2000 | 69.10 | 2153585 | 86 | 3.57 | 0.25 | 230 | 2010 | 3.3 | |||
Kansas City | American | 1973 | 112.90 | 2708549 | 95 | 3.73 | 0.269 | 139 | 2011 | 3.31 | |||
LA Angels | American | 1966 | 146.40 | 3012765 | 85 | 3.94 | 0.246 | 176 | 2012 | 3.44 | |||
LA Dodgers | National | 1962 | 230.40 | 3764815 | 92 | 3.44 | 0.25 | 187 | 2013 | 3.65 | |||
Miami | National | 2012 | 84.60 | 1752235 | 71 | 4.02 | 0.26 | 120 | 2014 | 3.95 | |||
Milwaukee | National | 2001 | 98.70 | 2542558 | 68 | 4.28 | 0.251 | 145 | 2015 | 4.25 | |||
Minnesota | American | 2010 | 108.30 | 2220054 | 83 | 4.07 | 0.247 | 156 | 2016 | 4.4 | |||
NY Mets | National | 2009 | 100.10 | 2569753 | 90 | 3.43 | 0.244 | 177 | |||||
NY Yankees | American | 2009 | 213.50 | 3193795 | 87 | 4.05 | 0.251 | 212 | |||||
Oakland | American | 1966 | 80.80 | 1768175 | 68 | 4.14 | 0.251 | 146 | |||||
Philadelphia | National | 2004 | 133.00 | 1831080 | 63 | 4.69 | 0.249 | 130 | |||||
Pittsburgh | National | 2001 | 85.90 | 2498596 | 98 | 3.21 | 0.26 | 140 | |||||
San Diego | National | 2004 | 126.60 | 2459742 | 74 | 4.09 | 0.243 | 148 | |||||
San Francisco | National | 2000 | 166.50 | 3375882 | 84 | 3.72 | 0.267 | 136 | |||||
Seattle | American | 1999 | 123.20 | 2193581 | 76 | 4.16 | 0.249 | 198 | |||||
St. Louis | National | 2006 | 120.30 | 3520889 | 100 | 2.94 | 0.253 | 137 | |||||
Tampa Bay | American | 1990 | 74.80 | 1287054 | 80 | 3.74 | 0.252 | 167 | |||||
Texas | American | 1994 | 144.80 | 2491875 | 88 | 2.24 | 0.257 | 172 | |||||
Toronto | American | 1989 | 116.40 | 2794891 | 93 | 3.8 | 0.269 | 232 | |||||
Washington | National | 2008 | 174.50 | 2619843 | 83 | 3.62 | 0.251 | 177 | |||||
Team Salary | |||||||||||||
Mean | 121.94 | ||||||||||||
Standard Error | 7.40904 | ||||||||||||
Median | 116.8 | ||||||||||||
Mode | #N/A | ||||||||||||
Standard Deviation | 40.581 | ||||||||||||
Sample Variance | 1646.82 | ||||||||||||
Kurtosis | 0.80568 | ||||||||||||
Skewness | 1.00949 | ||||||||||||
Range | 164.6 | ||||||||||||
Minimum | 65.8 | ||||||||||||
Maximum | 230.4 | ||||||||||||
Sum | 3658.2 | ||||||||||||
Count | 30 | ||||||||||||
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