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2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find P(X ≤ 0) and P(0 ≤ y ≤ x ≤ 1).

2) Let X & Y have the joint probability function f(x,y) = cx²y, -y ≤ x ≤ 1,0 ≤ y ≤ 1. i) Find c such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find P(X ≤ 0) and P(0 ≤ y ≤ x ≤ 1).

MATLAB: An Introduction with Applications
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,i,ii, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.
2) Let X & Y have the joint probability function f(x, y) = cx²y, -y ≤ x ≤ 1, 0 ≤ y ≤ 1. i) Find c such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find P(X ≤ 0) and P(0 ≤ y ≤X ≤ 1).
Transcribed Image Text:2) Let X & Y have the joint probability function f(x, y) = cx²y, -y ≤ x ≤ 1, 0 ≤ y ≤ 1. i) Find c such that this is a proper probability function. ii) Find the marginal probability, expectation and variance of X and Y. iii) Find P(X ≤ 0) and P(0 ≤ y ≤X ≤ 1).
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