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
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Let the joint pdf for the continuous random variables X and Y be:

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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