Solution Found!
For two events, A and B, P(A) = .4, P(B) = .2, and P(A B)
Chapter 3, Problem 49E(choose chapter or problem)
QUESTION:
For two events, A and B, P(A) = .4, P(B) = .2, and NW \(P(A \cap B)=.1\):
a. Find P(A|B).
b. Find P(B|A).
c. Are A and B independent events?
Text Transcription:
P(A cap B) = .1
Questions & Answers
QUESTION:
For two events, A and B, P(A) = .4, P(B) = .2, and NW \(P(A \cap B)=.1\):
a. Find P(A|B).
b. Find P(B|A).
c. Are A and B independent events?
Text Transcription:
P(A cap B) = .1
ANSWER:Solution :
Step 1 of 3:
Let A and B be the two events.
P(A) = 0.4, P(B) = 0.2, and P(AB) = 0.1.
Our goal is:
a). Find P(A/B).
b). Find P(B/A).
c). We need to find are A and B independent events.
a).
Now we have to find P(A/B).
The formula for P(A/B) is
P(A/B) =
Substitute P(B) = 0.2, and P(AB) = 0.1.
P(A/B) =
P(A/B) = 0.5
Therefore P(A/B) = 0.5.