estion 7 a) Let X1, X2, ... be an infinite sequence of independent and identically distributed Bernoulli random variables with parameter p= 1/2. Find n lim P X; n00 Li=1

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question 7
a) Let X1, X2, ... be an infinite sequence of independent and identically distributed
Bernoulli random variables with parameter p = 1/2. Find
n
lim P (X;
b) Let X - U (0,1) and Y - U(0,1), and X and Y are independent.
i) Find E[XY].
ii) Find Var[Xx¥].
Transcribed Image Text:Question 7 a) Let X1, X2, ... be an infinite sequence of independent and identically distributed Bernoulli random variables with parameter p = 1/2. Find n lim P (X; b) Let X - U (0,1) and Y - U(0,1), and X and Y are independent. i) Find E[XY]. ii) Find Var[Xx¥].
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