Two college students are studying for an exam. Student X is smarter than sudent Y. The grade that student X receives (x) will take on a value b/w 0 and 1 and the grade that student Y receives (y) will take on a value between 1/3 of x and x. The joint pdf for X and Y are given as: f(x,y) = {6x^2; 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Two college students are studying for an exam. Student X is smarter than sudent Y. The grade that student X receives (x) will take on a value b/w 0 and 1 and the grade that student Y receives (y) will take on a value between 1/3 of x and x. The joint pdf for X and Y are given as:

f(x,y) = {6x^2; 0<x<1   , (1/3)x<y<x

0; ew]

(i) Find E [Y | X = 0.8]

(ii) Find Cov[X,Y]

 

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