Question

20% of people excercise enough (so 80% do not). 15% of people who exercise enough have...

20% of people excercise enough (so 80% do not). 15% of people who exercise enough have heart issues. 30% of people who do not exercise enough have heart issues. Given that a person has heart issues, what is the probability that they exercise enough?

A) .03

B) .45

C) .111

D) .889

E) .24

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Let

no.of people = 100

20% of people exercise enough

No.of people exercise enough = 100*0.2 = 20

80% of people do not exercise enough = 100*0.8 = 80

15% of people who exercise enough have heart issues

No.of people exercise enough have heart issues = 20*0.15 = 3 people

30% of people who do not exercise enough have heart issues

No.of people exercise do not enough have heart issues = 80*0.3 = 24 people

So the total no.of people have heart issues = 24+3 = 27 people

Now

The probability that the person has heart issue and exercise enough = 3/27 = 0.111

Answer : Option C

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