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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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