The joint probability density function of X and Y is given by f(x, y) = {/2 x> 0, y > 0,x + y < 2 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y,
The joint probability density function of X and Y is given by f(x, y) = {/2 x> 0, y > 0,x + y < 2 otherwise Answer the following: (a) Find P(X+Y > 2/3). (b) Marginal of X (c) Marginal of Y,
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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Transcribed Image Text:The joint probability density function of X and Y is given by
f(x.y) = {","
{1/2 x>0, y > 0, x + y< 2
otherwise
Answer the following:
(a) Find P(X+Y > 2/3).
(b) Marginal of X
(c) Marginal of Y,
(d) Are X & Y independent?
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