Let X1,X2, .,Xn be i.i.d. random variables, where X; ~ Bernoulli(p). DefineY1 = X1X2,Y2 = X2X3,Yn-1 = Xn-1Xn,Y, = X,X1.If Y = Y1 + Y2 +……+ Yn, find1. E[Y],2. Var(Y).

A random variable X is called to follow the Bernoulli distribution if it takes only non-negative…

Answered: Let X1,X2,· · ,Xn be i.i.d. random…

Let X1,X2,· · ,Xn be i.i.d. random variables, where X; ~ Bernoull Y1 = X1X Y, = X2X %3D Yn-1 = X_ Yn = X,X If Y = Y1 + Y2 + ……+Yn, find

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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Question

Let X1,X2, .,Xn be i.i.d. random variables, where X; ~ Bernoulli(p). Define
Y1 = X1X2,
Y2 = X2X3,
Yn-1 = Xn-1Xn,
Y, = X,X1.
If Y = Y1 + Y2 +……+ Yn, find
1. E[Y],
2. Var(Y).

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