Question

A political candidate wanted to understand what issues were important to their voters. They asked 1,999 voters, "Which issue is the most important: crime, city planning, or health care?" The results of the survey are shown in the two-way table below in the attachment:

What is the probability that a person chosen at random from this survey is concerned about crime, given that they are male? Round your answer to the nearest tenth.

A. 5.9%
B. 14.5%
C. 22.0%
D. 26.8%

Answer 1

This one is just some simple division, an example in the lesson is this question exact but with different numerical values. It is 14.5%, which doesn't make much sense with the context.

The answer is B, 14.5%! Feel free to ask further questions about this topic!

Answer 2

Answer: B. 14.5%

Explanation:

Let M be the event of choosing a person that is male and c be the event of choosing a male who is concerned about crime.

From the given table , The number of males concerned about crime = 118

The probability of choosing a person that is male =
`P(C\capM)=(118)/(1999)`

The number of males surveyed =
`118+239+458=815`

`P(M)=(815)/(1999)`

Now, the probability that a person chosen at random from this survey is concerned about crime, given that they are male is given by:-

`P(C|M)=(P(C\capM))/(P(M))\\\\=((118)/(1999))/((815)/(1999))\\\\=(118)/(815)=0.145\\=0.145*100\%=14.5%`