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StatisticsQ&A LibraryYou are given the information that P(A) = 0.30 and P(B) = 0.40.(a) Do you have enough information to compute P(A or B)? Explain.No. You need to know the value of P(A) + P(B).No. You need to know the value of P(A and B). Yes. This probability is equal to 0.70.No. You need to know the value of P(A) - P(B).(b) If you know that events A and B are mutually exclusive, do you have enough information to compute P(A or B)? Explain.Yes. P(A and B) = 0.12, so P(A or B) = P(A) + P(B) - 0.12.Yes. P(A and B) = 0, so P(A or B) = P(B) - P(A). No. Knowing the events are mutually exclusive does not provide any extra information.Yes. P(A and B) = 0, so P(A or B) = P(A) + P(B).Question

Asked Mar 1, 2020

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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 or B*)? Explain.

(b) If you know that events*A* and *B* are mutually exclusive, do you have enough information to compute *P*(*A or B*)? Explain.

No. You need to know the value of *P*(*A*) + *P*(*B*).No. You need to know the value of *P*(*A and B*). Yes. This probability is equal to 0.70.No. You need to know the value of *P*(*A*) - *P*(*B*).

(b) If you know that events

Yes. *P*(*A and B*) = 0.12, so *P*(*A or B*) = *P*(*A*) + *P*(*B*) - 0.12.Yes. *P*(*A and B*) = 0, so *P*(*A or B*) = *P*(*B*) - *P*(*A*). No. Knowing the events are mutually exclusive does not provide any extra information.Yes. *P*(*A and B*) = 0, so *P*(*A or B*) = *P*(*A*) + *P*(*B*).

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