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True or False (h)__________ If X and Y are independent, then 300(X) and 300(Y) are dependent. (i) The geometric random variable counts the number of random events oc- curring in unit time. (i) 8. If X~ Bin(6, 1/3) and Y~ Geom(1/4) are independent, then E(XY) = The sum of two independent Poisson random variables with Poisson rates of A = 2 and μ = 5 respectively is a Poisson random variable with Poisson rate A = 10. (1) If X is the number chosen randomly among the first ten positive integers, then E(X(11-X)) = 22.

True or False (h)__________ If X and Y are independent, then 300(X) and 300(Y) are dependent. (i) The geometric random variable counts the number of random events oc- curring in unit time. (i) 8. If X~ Bin(6, 1/3) and Y~ Geom(1/4) are independent, then E(XY) = The sum of two independent Poisson random variables with Poisson rates of A = 2 and μ = 5 respectively is a Poisson random variable with Poisson rate A = 10. (1) If X is the number chosen randomly among the first ten positive integers, then E(X(11-X)) = 22.

A First Course in Probability (10th Edition)
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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(h) (i) The geometric random variable counts the number of random events oc- curring in unit time. (j) True or False If X and Y are independent, then 300(X) and 30s (Y) are dependent. 8. If X~ Bin (6, 1/3) and Y~ Geom(1/4) are independent, then E(XY) = (k) The sum of two independent Poisson random variables with Poisson rates of λ = 2 and μ = 5 respectively is a Poisson random variable with Poisson rate λ = 10. (1) If X is the number chosen randomly among the first ten positive integers, then E(X(11-X)) = 22.
Transcribed Image Text:(h) (i) The geometric random variable counts the number of random events oc- curring in unit time. (j) True or False If X and Y are independent, then 300(X) and 30s (Y) are dependent. 8. If X~ Bin (6, 1/3) and Y~ Geom(1/4) are independent, then E(XY) = (k) The sum of two independent Poisson random variables with Poisson rates of λ = 2 and μ = 5 respectively is a Poisson random variable with Poisson rate λ = 10. (1) If X is the number chosen randomly among the first ten positive integers, then E(X(11-X)) = 22.
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