Question

The probability that a student got an B on a recent exam is 0.3. The probability...

The probability that a student got an B on a recent exam is 0.3. The probability that a student studied 10 hours or more is 0.4. The probability that a student studied 10 hours or more and got and B is 0.25. The probability that a student got a B given that they studied 10 hours or more is 0.625. Which of the below is true

A. Studying more than 10 hours and getting an B are mutually exclusive events

B. Studying more than 10 hours and getting an B are independent events

C. Studying more than 10 hours and getting an B are both mutually exclusive events and independent events

D. None of the above.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Two events are independent when P(A|B)=P(A)

According to question, P(got a B | studies 10 hours or more) = 0.625 and P(got a B) = 0.30

we can see that

So, events are not independent

Two events are mutually exclusive when P(A and B) = 0

it is given that P(got a B and studies 10 hours or more) = 0.25

So, events are not mutually exclusive

Correct answer is D. None of the above.

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