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