Suppose that we have 2 random variables X and Y with joint probability density function fxy(x.y) = k (9 x+4 y), for 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.
Chapter13: Probability And Calculus
Section13.1: Continuous Probability Models
Problem 28E
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Question involving 3 sub parts, part a b and c
a) what is the value of k?
b) what is the probability P(X>0.5 , Y>0.5)?
c) what is the probability P(X>Y>0)?

Suppose that we have 2 random variables X and Y with joint probability density function
fxy(x.y) = k (9 x+ 4 y), for 0<x<1, 0<y<1
0,
otherwise
for some constant k. Give your answers to 2 decimal places.
(a) What is the value of k?
Transcribed Image Text:Suppose that we have 2 random variables X and Y with joint probability density function fxy(x.y) = k (9 x+ 4 y), for 0<x<1, 0<y<1 0, otherwise for some constant k. Give your answers to 2 decimal places. (a) What is the value of k?
(b) What is the probability P(X>0.5, Y>0.5)?
(c) What is the probability P(X>Y>0)?
Transcribed Image Text:(b) What is the probability P(X>0.5, Y>0.5)? (c) What is the probability P(X>Y>0)?
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