Let the random variables X₁, X₂ be independent of each other, well and obey the same geometric distribution P(X; = k) = pqk−1, p + q = 1, (k = 1, 2, ...), then the probability distribution of max(X₁, X₂) is ().

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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(A) pq ¹(2-q-q¹),r=1,2,...
(B) pq¹(2-q'), r = 1,2,...
(C) pq ¹(2-q¹), r = 1, 2, ...
(D) pq¹, r=1,2,...
Transcribed Image Text:(A) pq ¹(2-q-q¹),r=1,2,... (B) pq¹(2-q'), r = 1,2,... (C) pq ¹(2-q¹), r = 1, 2, ... (D) pq¹, r=1,2,...
Let the random variables X₁, X₂ be independent of each other, well and obey the same geometric
distribution P(X; = k) = pqk−¹, p + q = 1, (k = 1, 2, ...), then the probability distribution of
max(X₁, X₂) is ().
Transcribed Image Text:Let the random variables X₁, X₂ be independent of each other, well and obey the same geometric distribution P(X; = k) = pqk−¹, p + q = 1, (k = 1, 2, ...), then the probability distribution of max(X₁, X₂) is ().
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