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=y|X = = 1].

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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=y|X = = 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=y|X = = 1].
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