Q3. Suppose that Pis a probability measure defined on the sample space S. Prove that P(A OB)=1-P(A)– P(B)+P(A^B). Q4. Let A and B be events with P(A) 0.3, P(AUB)=0.5 and P(B) = p. Find pit: a. .A and Bare disjoint. b. A and Bare independent.
Q3. Suppose that Pis a probability measure defined on the sample space S. Prove that P(A OB)=1-P(A)– P(B)+P(A^B). Q4. Let A and B be events with P(A) 0.3, P(AUB)=0.5 and P(B) = p. Find pit: a. .A and Bare disjoint. b. A and Bare independent.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Q3. Suppose that Pis a probability measure defined on the sample space S. Prove that
P(AOB°)=1-P(A)– P(B)+P(A^B).
Q4. Let A and B be events with P(A) = 0.3, P(AUB)=0.5and P(B) = p.
Find pif:
a. .A and Bare disjoint.
b. A and Bare independent.
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