Question involving 3 sub parts, part a b and ca) 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 functionfxy(x.y) = k (9 x+ 4 y), for 0 (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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Answered: Suppose that we have 2 random variables…

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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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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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?

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