9. [-/2 Points] DETAILS BBUNDERSTAT13 4.R.007. 0/4 Submissions Used You are given the information that P(A) = 0.30 and P(B) = 0.40. (a) Do you have enough information to compute P(A and B)? Explain. O No. You need to know P(A or B). O Yes. This probability is equal to 0.12. O No. You need to know if the events are mutually exclusive. No. You need to know if the events are independent or the value of P(A | B) or P(B | A). (b) If you know that events A and B are independent, do you have enough information to compute P(A and B)? Explain. O Yes. For independent events, P(A and B) = P(A) P(B). O No. Knowing the events are independent does not provide any extra information. O Yes. For independent events, P(A and B) = P(A) P(B) + P(B | A). Yes. For independent events, P(A and B) = 0. Need Help? Read It 10. [-/1 Points] DETAILS BBUNDERSTAT13 4.R.008. 0/4 Submissions Used MY NOTES ASK YOUR TEACHER MY NOTES ASK YOUR TEACHER For a class activity, your group has been assigned the task of generating a quiz question that requires use of the formula for conditional probability to compute P(B | A). Your group comes up with the following question "If P(A and B) = 0.40 and P(A) = 0.20, what is the value of P(B | A)?" What is wrong with this question? Hint: Consider the answer you get when using the correct formula, P(B | A) = P(A and B)/P(A). O The question should be looking for P(A | B) not P(B | A). O P(A and B) cannot be greater than P(A), because this yields a probability greater than 1 for the answer. OP(A and B) cannot be greater than P(A), because this yields a probability less than 0 for the answer. OP(A and B) should be larger. 9:26 PM