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Consider dealing a hand of 5 cards from a well shuffled standard deck of playing cards. Let X₁ be the number of nines in the hand; let X₂ be the number of Kings in the hand; and let X3 be the number of cards in the hand that are neither nines nor Kings. The random variables {X₁, X2, X3} have a multinomial joint distribution. (Q1) ?

Consider dealing a hand of 5 cards from a well shuffled standard deck of playing cards. Let X₁ be the number of nines in the hand; let X₂ be the number of Kings in the hand; and let X3 be the number of cards in the hand that are neither nines nor Kings. The random variables {X₁, X2, X3} have a multinomial joint distribution. (Q1) ?

A First Course in Probability (10th Edition)
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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Problem 1 Consider dealing a hand of 5 cards from a well shuffled standard deck of playing cards. Let X₁ be the number of nines in the hand; let X₂ be the number of Kings in the hand; and let X3 be the number of cards in the hand that are neither nines nor Kings. The random variables {X₁, X2, X3} have a multinomial joint distribution. (Q1) ? Problem 2 Consider drawing 7 cards at random with replacment from a standard deck of playing cards. For this problem, consider Aces to be face cards, not numbered cards. Which of the following sets of variables have a multinomial joint distribution? (select all such sets) ? the number of kings drawn, the number of hearts drawn, and the number of twos drawn the number of face cards drawn, the number of even-numbered cards drawn, and number of odd-numbered cards drawn the number of kings drawn, and the number of other cards drawn the number of spades drawn, the number of hearts drawn, and the number of diamonds drawn (Q2) the number of face cards drawn, the number of kings drawn, and the number of other cards drawn
Transcribed Image Text:Problem 1 Consider dealing a hand of 5 cards from a well shuffled standard deck of playing cards. Let X₁ be the number of nines in the hand; let X₂ be the number of Kings in the hand; and let X3 be the number of cards in the hand that are neither nines nor Kings. The random variables {X₁, X2, X3} have a multinomial joint distribution. (Q1) ? Problem 2 Consider drawing 7 cards at random with replacment from a standard deck of playing cards. For this problem, consider Aces to be face cards, not numbered cards. Which of the following sets of variables have a multinomial joint distribution? (select all such sets) ? the number of kings drawn, the number of hearts drawn, and the number of twos drawn the number of face cards drawn, the number of even-numbered cards drawn, and number of odd-numbered cards drawn the number of kings drawn, and the number of other cards drawn the number of spades drawn, the number of hearts drawn, and the number of diamonds drawn (Q2) the number of face cards drawn, the number of kings drawn, and the number of other cards drawn
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