Question

Based on the data in the two-way table, what is the probability that a person weighs 120 pounds, given that he or she consumes 2,000 to 2,500 calories per day?

A: 0.09

B: 0.12

C: 0.22

D: 0.35

Answer 1

Of the people who consume 2000-2500 cal 10 of them weigh 120lbs. There are a total of 110 people who consume that much so the probability can be represented

P (120lbs | consume 2000-2500cal) = 10/110 = .09

Answer choice A

Answer 2

Answer: Option 'A' is correct.

Explanation:

Since we have given that

Total number of persons consumes 2000 to 2500 calories per day (n(A))= 110

Number of person who weighs 120 pounds given that consumes 2000 to 2500 calories per day (n(A∩B)) = 10

So, Probability that a person weighs 120 pounds given that he or she consumes 2000 to 2500 calories per day is given by

`P(B\mid A)=(n(A\cap B))/(n(A))=(10)/(110)=0.09`

Hence, Option 'A' is correct.