Suppose X and Y are random variables where Var(X)=8 and Var(Y)=6. If X and Y areindependent, then the variance of 6X + 3Y + 2 is equal to 342Select one:O TrueFalse Let X be a discrete random variable with pmf given byf(x = k) =k = 2,3,4,...ak= a(a – 1)Find the moment generating function of XSelect one:а.a - 1a -tb.aa -tC.(a – 1) e2t-a - tO d.(a – 1)e2"

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Suppose X and Y are random variables where Var(X)=8 and Var(Y)=6. If X and Y are independent, then the variance of 6X + 3Y + 2 is equal to 342 Select one: O True 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

Suppose X and Y are random variables where Var(X)=8 and Var(Y)=6. If X and Y are
independent, then the variance of 6X + 3Y + 2 is equal to 342
Select one:
O True
False

Let X be a discrete random variable with pmf given by
f(x = k) =
k = 2,3,4,...
ak
= a(a – 1)
Find the moment generating function of X
Select one:
а.
a - 1
a -t
b.
a
a -t
C.
(a – 1) e2t
-
a - t
O d.
(a – 1)e2"

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