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Miguel Cabrera of the Detroit Tigers had the highest batting average in the 2015

ID: 3051947 • Letter: M

Question

Miguel Cabrera of the Detroit Tigers had the highest batting average in the 2015 Major League Baseball season. His average was 0.268. So assume the probability of getting a hit is 0.268 for each time he batted. In a particular game, assume he batted two times.

This is an example of what type of probability?

Classical

Empirical

Joint

What is the probability of getting two hits in a particular game? (Round your answer to 3 decimal places.)

What is the probability of not getting any hits in a game? (Round your answer to 3 decimal places.)

What is the probability of getting at least one hit? (Round your answer to 3 decimal places.)

Explanation / Answer

1)this is Empirical probability as based upon previos distribution.

2) probability of getting two hits in a particular game =P(hit on first bat)*P(hit on second bat) =0.268*0.268=0.072

3)  probability of not getting any hits in a game =P( no hit on first game)*P(no hit on second)

=(1-0.268)*(!-0.268)=0.536

4) probability of getting at least one hit =1-P(getting no hit) =1-0.536 =0.464