Refer to the Baseball 2021 data. Compute the mean number of home runs per game. To do
Question:
Refer to the Baseball 2021 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2021. 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:
a. No home runs in a game.
b. Two home runs in a game.
c. At least four home runs in a game.
Team | League | Year Opened | Team Salary | Attendance | Wins | ERA | BA | HR | Net worth ($billion) |
Arizona Diamondbacks | National | 1998 | 89.08 | 1,043,010 | 52 | 5.11 | 0.236 | 144 | $1.320 |
Atlanta Braves | National | 2017 | 134.46 | 2,300,247 | 88 | 3.88 | 0.244 | 239 | $1.875 |
Baltimore Orioles | American | 1992 | 45.70 | 793,229 | 52 | 5.84 | 0.239 | 195 | $1.430 |
Boston Red Sox | American | 1912 | 180.26 | 1,725,323 | 92 | 4.26 | 0.261 | 219 | $3.465 |
Chicago Cubs | National | 1914 | 149.67 | 1,978,934 | 71 | 4.87 | 0.237 | 210 | $3.360 |
Chicago White Sox | American | 1991 | 125.99 | 1,596,385 | 93 | 3.73 | 0.256 | 190 | $1.685 |
Cincinnati Reds | National | 2003 | 118.75 | 1,505,024 | 83 | 4.40 | 0.249 | 222 | $1.085 |
Cleveland Indians | American | 1994 | 46.83 | 1,114,368 | 80 | 4.34 | 0.238 | 203 | $1.160 |
Colorado Rockies | National | 1995 | 103.99 | 1,938,645 | 74 | 4.82 | 0.249 | 182 | $1.300 |
Detroit Tigers | American | 2000 | 80.40 | 1,102,623 | 77 | 4.32 | 0.242 | 179 | $1.260 |
Houston Astros | American | 2000 | 171.02 | 2,068,509 | 95 | 3.76 | 0.267 | 221 | $1.870 |
Kansas City Royals | American | 1973 | 87.78 | 1,159,613 | 74 | 4.65 | 0.249 | 163 | $1.060 |
Los Angeles Angels | American | 1966 | 177.35 | 1,512,033 | 77 | 4.69 | 0.245 | 190 | $2.025 |
Los Angeles Dodgers | National | 1962 | 235.41 | 2,804,693 | 106 | 3.01 | 0.244 | 237 | $3.570 |
Miami Marlins | National | 2012 | 49.43 | 642,617 | 67 | 3.96 | 0.233 | 158 | $0.990 |
Milwaukee Brewers | National | 2001 | 87.57 | 1,824,282 | 95 | 3.50 | 0.233 | 194 | $1.220 |
Minnesota Twins | American | 2010 | 121.00 | 1,310,199 | 73 | 4.83 | 0.241 | 228 | $1.325 |
New York Mets | National | 2009 | 167.42 | 1,484,665 | 77 | 3.90 | 0.238 | 176 | $2.450 |
New York Yankees | American | 2009 | 191.21 | 1,959,854 | 92 | 3.74 | 0.237 | 222 | $5.250 |
Oakland Athletics | American | 1966 | 74.62 | 701,430 | 86 | 4.02 | 0.238 | 199 | $1.125 |
Philadelphia Phillies | National | 2004 | 174.01 | 1,515,890 | 82 | 4.39 | 0.24 | 198 | $2.050 |
Pittsburgh Pirates | National | 2001 | 35.91 | 859,498 | 61 | 5.08 | 0.236 | 124 | $1.285 |
San Diego Padres | National | 2004 | 171.69 | 2,191,950 | 79 | 4.10 | 0.242 | 180 | $1.500 |
San Francisco Giants | American | 2000 | 127.89 | 1,679,484 | 107 | 3.24 | 0.249 | 241 | $3.175 |
Seattle Mariners | National | 1999 | 64.55 | 1,215,985 | 90 | 4.30 | 0.226 | 199 | $1.630 |
St. Louis Cardinals | National | 2006 | 135.05 | 2,102,530 | 90 | 3.98 | 0.244 | 198 | $2.245 |
Tampa Bay Rays | American | 1990 | 60.39 | 761,072 | 100 | 3.67 | 0.242 | 222 | $1.055 |
Texas Rangers | American | 1994 | 84.87 | 2,110,258 | 60 | 4.79 | 0.232 | 167 | $1.785 |
Toronto Blue Jays | American | 1989 | 137.13 | 809,557 | 91 | 3.91 | 0.266 | 262 | $1.675 |
Washington Nationals | National | 2008 | 161.91 | 1,465,543 | 65 | 4.80 | 0.258 | 182 | $1.925 |
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Statistical Techniques In Business And Economics
ISBN: 9781265779696
19th Edition
Authors: Douglas Lind, William Marchal, Samuel Wathen
Question Posted: