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)
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...
Related questions
Question
![(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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc2a3207-1546-4f7c-866f-8a9e0d862ab8%2F9c9d2152-2aa3-4c99-ac91-2b26aa09309b%2Fy5mte3s_processed.jpeg&w=3840&q=75)
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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