1. Suppose that the random variables X and Y have the following joint pdf: f(x,y) = { }(2x+3y) for 0≤a ≤ 1, 0≤ y ≤ 1, otherwise. (a) Find the marginal densities, fx (x) and fy (y). (Be sure to give the support set for each random variable.) (b) Compute P(X < 0.6). (c) Compute P(Y ≥ 0.5). (d) Find E(X). (e) Find E(Y).
1. Suppose that the random variables X and Y have the following joint pdf: f(x,y) = { }(2x+3y) for 0≤a ≤ 1, 0≤ y ≤ 1, otherwise. (a) Find the marginal densities, fx (x) and fy (y). (Be sure to give the support set for each random variable.) (b) Compute P(X < 0.6). (c) Compute P(Y ≥ 0.5). (d) Find E(X). (e) Find E(Y).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. Suppose that the random variables X and Y have the following joint pdf:
(2x+3y)
for 0 ≤ x ≤ 1, 0 ≤ y ≤ 1,
{}
otherwise.
f (x, y) = {
(a) Find the marginal densities, fx (x) and f(y). (Be sure to give the support set for each
random variable.)
(b) Compute P(X < 0.6).
(c) Compute P(Y ≥ 0.5).
(d) Find E(X).
(e) Find E(Y).
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