Let A and B be events with P(A) = 0.3 and P(A ? B) =

Chapter 2, Problem 12SE

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QUESTION:

Let A and B be events with \(P(A)=0.3\) and \(P(A\cup B)=0.7\).

a. For what value of \(P(B)\) will A and B be mutually exclusive?

b. For what value of \(P(B)\) will A and B be independent?

Equation Transcription:

Text Transcription:

P(A)=0.3

P(AUB)=0.7

P(B)

P(B)

Questions & Answers

QUESTION:

Let A and B be events with \(P(A)=0.3\) and \(P(A\cup B)=0.7\).

a. For what value of \(P(B)\) will A and B be mutually exclusive?

b. For what value of \(P(B)\) will A and B be independent?

Equation Transcription:

Text Transcription:

P(A)=0.3

P(AUB)=0.7

P(B)

P(B)

ANSWER:

Solution:

Step 1 of 3:

 Let A and B are events with probability P(A)=0.3 and P(AB) =0.7.

We have to find

  1.   For what value of P(B) , the events A and B are mutually exclusive.
  2.    For what value of P(B) , the events A and B are independent.

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