Solve the following questions: 1) Let X & Y have the joint probability function f(x, y) = k(1-xy), 0≤x≤ 1,0 ≤ y ≤ 1. i) Find k such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find E(X+Y).
Solve the following questions: 1) Let X & Y have the joint probability function f(x, y) = k(1-xy), 0≤x≤ 1,0 ≤ y ≤ 1. i) Find k such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find E(X+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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Please answer i,ii,iii, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.
![Solve the following questions:
1) Let X & Y have the joint probability function f(x, y) = k(1-xy), 0≤x≤ 1,0 ≤ y ≤ 1.
i) Find k such that this is a proper probability function.
ii) Find the marginal probability, expectation and variance of X and Y.
iii) Find E(X+Y).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1e78592-0bf4-4b47-9b18-d7a6fa476d06%2F59f94818-29f9-4e0f-82a7-5cdcdd9dd3a2%2Fh37q3kb_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following questions:
1) Let X & Y have the joint probability function f(x, y) = k(1-xy), 0≤x≤ 1,0 ≤ y ≤ 1.
i) Find k such that this is a proper probability function.
ii) Find the marginal probability, expectation and variance of X and Y.
iii) Find E(X+Y).
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