3.66 Suppose that Y is a random variable with a geometric distribution. Show that a_Σ, P(y) = Σq-p = 1. p(y) b p(y - 1) = q, for y = 2, 3, .... This ratio is less than 1, implying ric probabilities are monotonically decreasing as a function what value of Y is the most likely (has the highest distribution, that of y. If Y has a geometric probability)? the geomet-
3.66 Suppose that Y is a random variable with a geometric distribution. Show that a_Σ, P(y) = Σq-p = 1. p(y) b p(y - 1) = q, for y = 2, 3, .... This ratio is less than 1, implying ric probabilities are monotonically decreasing as a function what value of Y is the most likely (has the highest distribution, that of y. If Y has a geometric probability)? the geomet-
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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3.66 Suppose that Y is a random variable with a geometric distribution. Show that
y-1
a_Σ, P(y) = 21q|p = 1.
y=19
p(y)
b
= q, for y = 2, 3, .... This ratio is less than 1, implying that the geomet-
p(y - 1)
ric probabilities are monotonically decreasing as a function of y. If Y has a geometric
distribution, what value of Y is the most likely (has the highest
probability)?
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