Question: You are given the information that P ( A ) = 0.30 and P ( B ) = 0.40. (a) Do you have enough information

You are given the information thatP(A) = 0.30 andP(B) = 0.40.

(a) Do you have enough information to computeP(A and B)? Explain.

No. You need to knowP(A or B).

No. You need to know if the events are mutually exclusive.

Yes. This probability is equal to 0.12.

No. You need to know if the events are independent or the value ofP(A|B) orP(B|A).

(b) If you know that eventsAandBare independent, do you have enough information to computeP(A and B)? Explain.

Yes. For independent events,P(A and B) =P(A)P(B) +P(B|A).

Yes. For independent events,P(A and B) = 0.

Yes. For independent events,P(A and B) =P(A)P(B).

No. Knowing the events are independent does not provide any extra information.

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