(P1) P(22) = 1 (P2) If A and B are disjoint subsets of 2, then P(A U B) = P(A) + P(B). (P3) If A₁, A2,. are disjoint subsets of N, then 9... 9 PÜAn P(₁.) - n=1 8 | An) = ΣP(An). n=1

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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(P1) Ρ(Ω)
= 1
(P2) If A and B are disjoint subsets of 2, then P(A U B) = P(A) + P(B).
(P3) If A1, A2, ..., are disjoint subsets of Ω, then
P(A) -
An
=1
ΣΡ(Αn).
n=1
Transcribed Image Text:(P1) Ρ(Ω) = 1 (P2) If A and B are disjoint subsets of 2, then P(A U B) = P(A) + P(B). (P3) If A1, A2, ..., are disjoint subsets of Ω, then P(A) - An =1 ΣΡ(Αn). n=1
1.9 Consider an experiment with sample space 2 = [0, 1]. Let D(.) denote a function defined as
follows: for a given subset of S, A,
Is D a probability function on ?
D(A) = sup |st|.
s, tEA
Transcribed Image Text:1.9 Consider an experiment with sample space 2 = [0, 1]. Let D(.) denote a function defined as follows: for a given subset of S, A, Is D a probability function on ? D(A) = sup |st|. s, tEA
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