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QUESTION 2: If you were to randomly select a person, define event A as that person...

QUESTION 2: If you were to randomly select a person, define event A as that person being college graduate and event B as that person being homeless. Which of the following is correct?

A. The events A and B are disjoint and independent.

B. The events A and B are joint and independent.

C. The events A and B are disjoint and dependent.

D. The events A and B are joint and dependent.

** This is all of the information I was given - What would be the best answer and why?

Math   Statistics-And-Probability   
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Answer #1

A person who is college graduate may or may not be homeless, so these two events A and B may be disjoint or may be joint as well.

As its more possible that some homeless persons are college graduates, So A and B is joint is more possible

But being homeless doesn't effect the person to be a college graduate. or being college graduate has nothing to do with whther the person is homeless or not.

So the two events are Independent.

Therefore, Option B " The events A and B are joint and independent. " is correct

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