how to do it and to put it in excel Q. refer to the baseball 2009 data. compute
ID: 3183731 • Letter: H
Question
how to do it and to put it in excel
Q.
refer to the baseball 2009 data. compute the mean number of home runs per game. todo this, first find the mean number home runs per team for 2009. 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:
A. there are no home runs in the game
B. there are two home runs in the game
C. there are at least four home runs in the game
data home runs per team for the year 2009:
Explanation / Answer
Solution:-
The mean number home runs per team for 2009 = 168.067
Expected number of home runs that will be hit in a game = (168.067/162) × 2
Expected number of home runs that will be hit in a game = 2.075
A. Probability there are no home runs in the game is 0.126.
By applying poisons distribution:-
P(x; ) = (e-) (x) / x!
= 2.075, x = 0
P(x = 0) = 0.126
B. Probabiliyty that there are two home runs in the game is 0.2703
By applying poisons distribution:-
P(x; ) = (e-) (x) / x!
= 2.075, x = 2
P(x = 2) = 0.2703
C. Probability that there are at least four home runs in the game is 0.157
By applying poisons distribution:-
P(x; ) = (e-) (x) / x!
= 2.075, x = 4
P(x > 4) = 0.157
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