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%

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 Link

JeanaShupp JeanaShupp · Answer 2 · 2019-02-19T09:44:39+01:00

Answer: B. 14.5%

Step-by-step 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 =[tex]P(C\capM)=\frac{118}{1999}[/tex]

The number of males surveyed = [tex]118+239+458=815[/tex]

[tex]P(M)=\frac{815}{1999}[/tex]

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

[tex]P(C|M)=\frac{P(C\capM)}{P(M)}\\\\=\frac{\frac{118}{1999}}{\frac{815}{1999}}\\\\=\frac{118}{815}=0.145\\=0.145\times100\%=14.5%[/tex]