Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks. a) Find the joint probability distribution of X and Y; b) Find the marginal probability distributions of X and Y. c) P[(X, Y ) ∈ A], where A is the region given by {(x, y) | x + y ≥ 2}. d) Calculate the correlation coefficient. State whether X and Y are independent or not.
Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks. a) Find the joint probability distribution of X and Y; b) Find the marginal probability distributions of X and Y. c) P[(X, Y ) ∈ A], where A is the region given by {(x, y) | x + y ≥ 2}. d) Calculate the correlation coefficient. State whether X and Y are independent or not.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Three cards are drawn without replacement from the 12 face cards (jacks, queens, and kings) of an ordinary deck of 52 playing cards. Let X be the number of kings selected and Y the number of jacks.
a) Find the joint
b) Find the marginal probability distributions of X and Y.
c) P[(X, Y ) ∈ A], where A is the region given by {(x, y) | x + y ≥ 2}.
d) Calculate the
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