Homework Answers
a ) Let , H be the number of hits the batter gets in 4 bats
Here , H has Poisson distribution with paramater m=0.300
Therefore , the pmf of H is ,
; h = 0 , 1 , .............
= 0 ; otherwise
b )
c )
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Option #1: Batting The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.”...
Option #1: Batting The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain major league player’s at-bats and corresponding hits were recorded for 200 consecutive games. The consecutive games span more than one season. Since each game is different, the number of at-bats and hits both vary. For this particular player, there were from zero to five at-bats. Thus, one can sort the 200 games into six categories: 0...
The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain...
The batting average of a baseball player is the number of “hits”
divided by the number of “at-bats.” Recently, a certain major
league player’s at-bats and corresponding hits were recorded for
200 consecutive games. The consecutive games span more than one
season. Since each game is different, the number of at-bats and
hits both vary. For this particular player, there were from zero to
five at-bats. Thus, one can sort the 200 games into six
categories:
0 at-bats
1 at-bat...
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A professional baseball player claims he can get a hit 30% of the time based on...
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Please use the central limit theorem. 9.14 A baseball player has a batting average of 0.328....
Please use the central limit
theorem.
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The batting average of a baseball player is the number of “hits”
divided by the number of “at-bats.” Recently, a certain major
league player’s at-bats and corresponding hits were recorded for
200 consecutive games. The consecutive games span more than one
season. Since each game is different, the number of at-bats and
hits both vary. For this particular player, there were from zero to
five at-bats. Thus, one can sort the 200 games into six
categories:
0 at-bats
1 at-bat...
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A professional baseball player claims he can get a hit 30% of
the time based on batting average. During the next 10 games he had
38 at bats and only got 7 hits. Test the claim that the player gets
a hit 30% of his at-bats with a significant level of 0.05
6. A professional baseball player claims he can get a hit 30% of the time based on his batting average However, during the next 10 games he had...
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theorem.
9.14 A baseball player has a batting average of 0.328. Let X be the number of hits the player gets during 20 times at bat. Use the central limit theorem to find the approximate probability P(X<k) for k = 1, 3, 6. Compare with the exact probability for each k. Problem 9.14. The problem assumes that the batter's probability of getting a hit stays constant at p=0.328 while he comes up to bat 20...
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