The Poisson random variable X, has pmf f(2)- A, for z = 0, 1,2,3,.... Which of the following is FALSE?

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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Question 4
The Poisson random variable X, has pmf
f(x) = Ae, for z = 0, 1, 2, 3,... Which of the following is FALSE?
O The Poisson random variable is often used to model the number events occurring in non-overlapping intervals of time.
O EX] =A = Var[X].
O X is a memoryless random variable.
O The Poisson distribution is reproductive; that is, the sum of independent Poissoni distributed random variables will be another Poisson
distributed random variable.
Transcribed Image Text:Question 4 The Poisson random variable X, has pmf f(x) = Ae, for z = 0, 1, 2, 3,... Which of the following is FALSE? O The Poisson random variable is often used to model the number events occurring in non-overlapping intervals of time. O EX] =A = Var[X]. O X is a memoryless random variable. O The Poisson distribution is reproductive; that is, the sum of independent Poissoni distributed random variables will be another Poisson distributed random variable.
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