Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) randomvariables.What is E[(X1+X2+X3+...+X69+X70) (X71 + X72 + ... + X99+X100)]?

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Answered: Suppose that X1, X2, X3, .., X99, X100…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that X1, X2, X3, ..., X99, X100 are independent Bernoulli(1/2) random variables. What is E[(X1+X2+X3+...+X69+X70)*(X71 + X72 + ... + X99+X100)]?
Suppose X is a random variable with E(X) = 0 and Var(X) = 2. What is E(X2 )? a). 1 b). 2 c). 3 d). 4 e). none of above
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Example 2.8. Suppose X is a random variable whose CDF is: 3 Fx(z) = lp1.00)(2) + 100.0)(2) +20.00)(2) + Ig0,(?) Determine the following: a) fx(1) b) fx(0.1) c) fx(100) d) P(х > 105) e) P(0 0.1)
Suppose that random variable X and X itself are independent. Show that there must exist a constant C such that P(X = C) = 1. (Hint: consider its CDF and use the properties of CDFs)

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Suppose that X1, X2, X3, .., X99, X100 are independent Bernoulli(1/2) random variables. What is E[(X1+X2+X3+...+X69+X70) (X71 + X72 + ... + X99+X100)]?