During the 2013 season, a baseball player hit a total of 47 home runs in the 161
ID: 3220621 • Letter: D
Question
During the 2013 season, a baseball player hit a total of 47 home runs in the 161 games he played,distributed as follows: he had 3 games during which he hit 2 or more home runs; he had 39 gamesduring which he hit 1 home run, and he had 119 games during which he did not hit a home run.
(a) On a given day that season, what is the probability that the player did not hit a home run?
(b) Does the observed number of home runs per game approximately follow a Poisson distribution
with parameter = 47/161?
.
GIVE DETAILED EXPLANATION FOR B PLEASE
Explanation / Answer
a) the probability that the player did not hit a home run = 119 / 161 = 0.739
b) Yes, given context is not suitable for poisson distribution.
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