The following two-way contingency table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a

Jerold

Jerold

Answered question

2020-11-26

The following two-way contingency table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a property tax issue:
Opinion
AffiliationFavorsOpposesUndecidedA0.120.090.07B0.160.120.14C0.040.030.06None0.080.060.03
A person is selected at random. What is the probability that the person is affiliated with parties A or B?

Answer & Explanation

yagombyeR

yagombyeR

Skilled2020-11-27Added 92 answers

Step 1
Given information-
We have given the table gives the breakdown of a town's population according to party affiliation (A, B, C, or None) and opinion on a property tax issue.
We have to find the probability that the person is affiliated with parties A or B.AffiliationFavorsOpposesUndecidedTotalA0.120.090.070.28B0.160.120.140.42C0.040.030.060.13None0.080.060.030.17Total0.40.30.31
Step 2
So,
P(A)=0.28,P(B)=0.42
Since both are independent events.
P(the person is affiliated with parties A or B)=P(A)+P(B)
P(the person is affiliated with parties A or B)=0.28+0.42=0.70
Hence , the probability that the person is affiliated with parties A or B is 0.70

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