2) A company was examining the perception of sports fans in a specific region and outside of that region to see if people viewed a specific team favorable or unfavorable. It was previously determined that given a person was from the region the probability they considered the team favorable was 0.7, and given that the person was not from the region, the probability they considered the team unfavorable was 0.28. Consider a collection of 35 people were surveyed, where 28 were from the region, and 7 people were from outside the region. a) Given that a randomly selected response from the sample was favorable, what is the probability they were from the region? b) Given that a randomly selected response from the sample was not favorable, what is the probability they were from the region?

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2) A company was examining the perception of sports fans in a specific region and outside of that region to see if people
viewed a specific team favorable or unfavorable. It was previously determined that given a person was from the region
the probability they considered the team favorable was 0.7, and given that the person was not from the region, the
probability they considered the team unfavorable was 0.28. Consider a collection of 35 people were surveyed, where 28
were from the region, and 7 people were from outside the region.
a) Given that a randomly selected response from the sample was favorable, what is the probability they were from the
region?
b) Given that a randomly selected response from the sample was not favorable, what is the probability they were from
the region?
Transcribed Image Text:2) A company was examining the perception of sports fans in a specific region and outside of that region to see if people viewed a specific team favorable or unfavorable. It was previously determined that given a person was from the region the probability they considered the team favorable was 0.7, and given that the person was not from the region, the probability they considered the team unfavorable was 0.28. Consider a collection of 35 people were surveyed, where 28 were from the region, and 7 people were from outside the region. a) Given that a randomly selected response from the sample was favorable, what is the probability they were from the region? b) Given that a randomly selected response from the sample was not favorable, what is the probability they were from the region?
Expert Solution
Step 1

Let's define events, 

A : a person was from the region 

B : a person was not from the region.  

C : the team favorable 

D : Th team unfavorable.  

We have , 

P(A) = 28/35 = 0.8,  P(B) = 7/35 = 0.2

P(C|A) = 0.7,  P(D|B) = 0.28 

For more understanding please look following tree diagram.  

Statistics homework question answer, step 1, image 1

 

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