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Which of the following statements are true about the sum of discrete, independent random variables? I. The sum of two Poisson random variables is always a Poisson random variable. II. The sum of two negative binomial random variables with parameters (r, ß) and (r', ') is a negative binomial random variable if r = r'. III. The sum of two binomial random variables with parameters (m, q) and (m', q') is a binomial random variable if q = q'. A B None of I, II, or III is true. D I and II only C I and III only II and III only E I, II, and III

Which of the following statements are true about the sum of discrete, independent random variables? I. The sum of two Poisson random variables is always a Poisson random variable. II. The sum of two negative binomial random variables with parameters (r, ß) and (r', ') is a negative binomial random variable if r = r'. III. The sum of two binomial random variables with parameters (m, q) and (m', q') is a binomial random variable if q = q'. A B None of I, II, or III is true. D I and II only C I and III only II and III only E I, II, and III

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Which of the following statements are true about the sum of discrete, independent random variables? I. The sum of two Poisson random variables is always a Poisson random variable. II. The sum of two negative binomial random variables with parameters (r, ß) and (r', ß') is a negative binomial random variable if r = r'. III. The sum of two binomial random variables with parameters (m, q) and (m', q') is a binomial random variable if q = q'. A B с None of I, II, or III is true. E I and II only I and III only D II and III only I, II, and III
Transcribed Image Text:Which of the following statements are true about the sum of discrete, independent random variables? I. The sum of two Poisson random variables is always a Poisson random variable. II. The sum of two negative binomial random variables with parameters (r, ß) and (r', ß') is a negative binomial random variable if r = r'. III. The sum of two binomial random variables with parameters (m, q) and (m', q') is a binomial random variable if q = q'. A B с None of I, II, or III is true. E I and II only I and III only D II and III only I, II, and III
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