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In Exercise 5.8, we derived the fact that { Show that Cov(Y₁, Y₂) = 0. Does it surprise you that Cov(Y₁, Y₂) is zero? Why? f(y₁, y2) = 4y12, 0≤ y ≤ 1,0 ≤ y ≤ 1, elsewhere.

In Exercise 5.8, we derived the fact that { Show that Cov(Y₁, Y₂) = 0. Does it surprise you that Cov(Y₁, Y₂) is zero? Why? f(y₁, y2) = 4y12, 0≤ y ≤ 1,0 ≤ y ≤ 1, elsewhere.

MATLAB: An Introduction with Applications
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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In Exercise 5.8, we derived the fact that 0≤ y ≤ 1,0 ≤ y ≤ 1, { elsewhere. Show that Cov(Y₁, Y₂) = 0. Does it surprise you that Cov(Y₁, Y₂) is zero? Why? f(y₁, y2) = f(y₁, y₂) = 4y12, 0, Reference Let Y₁ and Y₂ have the joint probability density function given by [ky12, 0≤ y ≤ 1,0 ≤ y ≤ 1, [87/19/2 elsewhere. a Find the value of k that makes this a probability density function. b Find the joint distribution function for Y₁ and Y₂. c Find P(Y₁ ≤ 1/2, Y₂ ≤ 3/4).
Transcribed Image Text:In Exercise 5.8, we derived the fact that 0≤ y ≤ 1,0 ≤ y ≤ 1, { elsewhere. Show that Cov(Y₁, Y₂) = 0. Does it surprise you that Cov(Y₁, Y₂) is zero? Why? f(y₁, y2) = f(y₁, y₂) = 4y12, 0, Reference Let Y₁ and Y₂ have the joint probability density function given by [ky12, 0≤ y ≤ 1,0 ≤ y ≤ 1, [87/19/2 elsewhere. a Find the value of k that makes this a probability density function. b Find the joint distribution function for Y₁ and Y₂. c Find P(Y₁ ≤ 1/2, Y₂ ≤ 3/4).
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