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An experiment results in one of three mutually exclusive
Chapter 3, Problem 52E(choose chapter or problem)
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.