Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 6x2 ; 0 < x <1, (1/3)x < y 0.8 | X = 0.9)
Let the joint pdf for the continuous random variables X and Y be: f(x,y) = { 6x2 ; 0 < x <1, (1/3)x < y 0.8 | X = 0.9)
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.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
Related questions
Question
Let the joint
f(x,y) = { 6x2 ; 0 < x <1, (1/3)x < y <x
0; elsewhere]
(i) Find P(X=0.6, Y=0.6)
(ii) Find P(X=0.6, Y<0.6)
(iii) What is the marginal pdf for X?
(iv) What is the marginal pdf for Y?
(v) Find P(Y > 0.8 | X = 0.9)
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