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Exercise 28 Let X - Binom(16, ) and Y ~ Geom() be two independent random variables. Compute (i) E(X +2Y + 3), (ii) the standard deviation of 3X +5, (iii) Var(2Y + 1),

Exercise 28 Let X - Binom(16, ) and Y ~ Geom() be two independent random variables. Compute (i) E(X +2Y + 3), (ii) the standard deviation of 3X +5, (iii) Var(2Y + 1),

A First Course in Probability (10th Edition)
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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Exercise 28 Let X ~ Binom(16, 4) and Y ~ Geom(}) be two independent random variables. Compute (i) E(X + 2Y +3), (ii) the standard deviation of 3X + 5, (iii) Var(2Y + 1), (iv) Cov(2X, 3Y), (v) Cov(X,4X).
Transcribed Image Text:Exercise 28 Let X ~ Binom(16, 4) and Y ~ Geom(}) be two independent random variables. Compute (i) E(X + 2Y +3), (ii) the standard deviation of 3X + 5, (iii) Var(2Y + 1), (iv) Cov(2X, 3Y), (v) Cov(X,4X).
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