An experiment results in one of three mutually exclusive

Chapter 3, Problem 52E

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QUESTION:

Problem 52E

An experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = .30, P(B) = .55, and P(C) = .15. Find each of the following probabilities:

a. P(A B)

b. P(A  C)

c. P(A|B)

d. P(B C)

e. Are B and C independent events? Explain.

Questions & Answers

QUESTION:

Problem 52E

An experiment results in one of three mutually exclusive events, A, B, or C. It is known that P(A) = .30, P(B) = .55, and P(C) = .15. Find each of the following probabilities:

a. P(A B)

b. P(A  C)

c. P(A|B)

d. P(B C)

e. Are B and C independent events? Explain.

ANSWER:

Solution:

Step 1 of 6:

It is given that the three events A,b and C are mutually exclusive events.

And also, P(A)=0.30,P(B)=0.55 and P(C)=0.15.

Using this we need to find the required probabilities.


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