Suppose that 3% of all adults suffer from diabetes and that 28% of all adults are obese. suppose also that 2% of all adults both are obese and suffer from diabetes.
(a) find the probability that a randomly chosen adult who is obese also suffers from diabetes. round your answer to decimal places.
(b) find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes. round your answer to decimal places.

a) There is a 7.14% p(a) probability that a randomly chosen adult who is obese also suffers from diabetes.

b) There is a 66.64% probability of the adult being obese, given that he suffers from diabetes.

Explanation:

The problem states that:

28% of all adults are obese. This means that there is a 28% probability of a randomly chosen adult being obese.

3% of all adults suffer from diabetes. This means that there is a 3% probability of a randomly chosen adult suffering from diabetes.

2% of all adults both are obese and suffer from diabetes. This means that there is a 2% probability of a randomly chosen adult both being obese and suffering from diabeters.

(a) Find the probability that a randomly chosen adult who is obese also suffers from diabetes. Round your answer to decimal places:

28% of all adults are obese and 2% of all adults are both obese and suffer from diabetes.

So the probability of a randomly chosen adult who is obese suffering from diabetes is:

There is a 7.14% probability that a randomly chosen adult who is obese also suffers from diabetes.

(b) Find the probability that a randomly chosen adult is obese, given that he or she suffers from diabetes.

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So:

What is the probability of the adult being obese, given that he suffers from diabetes.

P(B) is the probability of the adult being obese. So

P(A/B) is the probability of the adult suffering from diabetes, given that he is obese. We found in a) that 7.14% of the adults who are obese also suffer from diabetes. So:

P(A) is the probability of the adult suffering from diabetes. So:

Finally

There is a 66.64% probability of the adult being obese, given that he suffers from diabetes.

the answer to your question is: family members who abuse drugs.

(i hope this ! )

my hamster died and my second hamster i got after that one died as well. i also lost two birds named rainbow and kiwi, (they didn't die, they flew off and escaped). i lost a cat named omi, and a dog named snoopie. the best way i got over it is, paying my respects, and just thinking that they were in a happy place. as well as just remembering but not thinking about it all the time, just do fun activities and try not to think about it too much. hope you feel better. i'm sorry about your loss. : (