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* 2 Two cards are drawn at random without replacement from an ordinary deck. Let X be the number of hearts and Y the number of black cards obtained. a) Write an expression for the joint pdf, f(x,y). b) Find the marginal X and Y? c) Are X and Y independent?

* 2 Two cards are drawn at random without replacement from an ordinary deck. Let X be the number of hearts and Y the number of black cards obtained. a) Write an expression for the joint pdf, f(x,y). b) Find the marginal X and Y? c) Are X and Y independent?

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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2: Two cards are drawn at random without replacement from an ordinary deck. Let X be the number of hearts and Y the number of black cards obtained. a) Write an expression for the joint pdf, f(x, y). b) Find the marginal X and Y? c) Are X and Y independent? d) Find P[Y = 1|X = 1]. e) Find P[Y = yX = 1].
Transcribed Image Text:2: Two cards are drawn at random without replacement from an ordinary deck. Let X be the number of hearts and Y the number of black cards obtained. a) Write an expression for the joint pdf, f(x, y). b) Find the marginal X and Y? c) Are X and Y independent? d) Find P[Y = 1|X = 1]. e) Find P[Y = yX = 1].
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