Three cards are drawn without replacement from the 16 cards that make up the 5s, 6s, 7s, and 8s from an ordinary deck of 52 playing cards Let X be the number of 7s selected and Y the number of 5s (a) Find the joint probability distribution of X and Y (b) Find PI(X,Y)EA), where A is the region given by ((x.y) |x y2 1). (a) Complete the joint probability distribution below (Type integers or simplitied fractions) 1(x.V) 2 3 2 3 (b) PI(X Y)EAJ =(Type an integer or simplified fraction)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Three cards are drawn without replacement from the 16 cards that make up the 5s, 6s, 7s, and 8s from an ordinary deck of 52 playing cards Let X be the number of
7s selected and Y the number of 5s
(a) Find the joint probability distribution of X and Y
(b) Find P((X,Y)EA), where A is the region given by ((x.y) |x+ y2 1).
(a) Complete the joint probability distribution below
(Type integers or simplified fractions)
f(x.y)
2
3
y
(b) P[(XY)EAJ=(Type an integer or simplified fraction)
23
Transcribed Image Text:Three cards are drawn without replacement from the 16 cards that make up the 5s, 6s, 7s, and 8s from an ordinary deck of 52 playing cards Let X be the number of 7s selected and Y the number of 5s (a) Find the joint probability distribution of X and Y (b) Find P((X,Y)EA), where A is the region given by ((x.y) |x+ y2 1). (a) Complete the joint probability distribution below (Type integers or simplified fractions) f(x.y) 2 3 y (b) P[(XY)EAJ=(Type an integer or simplified fraction) 23
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