Refer to the Baseball 2018 data. Compute the mean number of home runs per game. To do this, first find the mean number of home runs per team for 2018. Next, divide this value by 164 (a season comprises 164 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. (Round your answers to 4 decimal places.) Click here for the Excel Data File a. Find the probability that there are no home runs in a game.
Probability
b. Find the probability that there are two home runs in a game.
Probability
c. Find the probability that there are at least four home runs in a game.
BA Net Worth $ bil 1.21 1.625 1.2 2.8 2.9 1.5 1.01 1.045 1.1 1.225 1.65 1.015 1.8 Team Arizona Diamondbacks Atlanta Braves Baltimore Orioles Boston Red Sox Chicago Cubs Chicago White Sox Cincinnati Reds Cleveland Indians Colorado Rockies Detroit Tigers Houston Astros Kansas City Royals Los Angeles Angels Los Angeles Dodgers Miami Marlins Milwaukee Brewers Minnesota Twins New York Mets New York Yankees Oakland Athletics Philadelphia Phillies Pittsburgh Pirates San Diego Padres San Francisco Giants Seattle Mariners St. Louis Cardinals Tampa Bay Rays Texas Rangers Toronto Blue Jays Washington Nationals 103 League National National American American National American National American National American American American American National National National American National American American National National National American National National American American American National Team Salary ($ mil) HR 143.32 130.6 127.63 227.4 194.26 71.84 100.31 142.8 143.97 130.96 163.52 129.94 173.78 199.58 91.82 108.98 115.51 150.19 179.6 80.32 104.3 91.03 101.34 205.67 160.99 163.78 68.81 140.63 150.95 181.38 176 175 188 208 167 182 172 216 210 135 205 155 214 235 128 218 166 170 267 227 186 157 162 176 133 205 150 194 217 191 3.72 3.75 5.18 3.75 3.65 4.84 4.63 3.77 4.33 4.58 3.11 4.94 4.15 3.38 4.76 3.73 Wins ERA 0.235 82 0.257 90 0.239 47 0.268 108 0.258 95 0.241 62 0.254 67 0.259 91 0.256 91 0.241 64 0.255 0.245 58 0.242 80 0.25 92 0.237 63 0.252 96 0.25 78 0.234 77 0.249 100 0.252 97 0.234 80 0.254 82 0.235 66 0.254 89 0.239 73 0.249 88 0.258 90 0.24 67 0.244 73 0.254 82 Year Stadium Attendance Opened mil 1998 2.242695 2017 2.555781 1992 1.564192 1912 2.895575 1914 3.181089 1991 1.608817 2003 1.629356 1994 1.926701 1995 3.01588 2000 1.85697 2000 2.980549 1973 1.665107 1966 3.020216 1962 3.8575 2012 0.811104 2001 2.850875 2010 1.959197 2009 2.224995 2009 3.482855 1966 1.573616 2004 2.158124 2001 1.465316 2004 2.168536 2000 2.299489 1999 3.156185 2006 3.403587 1990 1.154973 1994 2.107107 1989 2.325281 2008 2.529604 3 1 1.03 1.15 2.1 4.5 4.07 3.78 3.81 4.14 4 4 1.02 1.7 4.13 3.95 3.85 3.74 4.92 4.85 4.04 1.26 1.27 2.85 1.45 1.9 0.9 1.6 1.35 1.675