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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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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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