1. Let C, D E F. Suppose P(C): = 9 10 and P(D) = D(D) 4 5 show that P(CND) Z 7 10

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 3E: The conditional probability of E given that F occur is P(EF)= _____________. So in rolling a die the...
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Question 2
Let (N, F, P) be a probability space.
9
4
1. Let C, D E F. Suppose P(C) =
and P(D)
10
5²
2. Let A, B € F. Prove P(An B) ≥ P(A) + P(B) – 1.
3. Let A, B € F. Prove that the probability that exactly one of the events A or B occurs equals P(A) +
P(B) - 2P(An B).
4. Let A, B € F. Prove that P (An Bc) = P(A) — P(A^ B).
=
show that P(CD) >
7
10
Transcribed Image Text:Question 2 Let (N, F, P) be a probability space. 9 4 1. Let C, D E F. Suppose P(C) = and P(D) 10 5² 2. Let A, B € F. Prove P(An B) ≥ P(A) + P(B) – 1. 3. Let A, B € F. Prove that the probability that exactly one of the events A or B occurs equals P(A) + P(B) - 2P(An B). 4. Let A, B € F. Prove that P (An Bc) = P(A) — P(A^ B). = show that P(CD) > 7 10
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