The guests of a party arrive one by one. If X is the number of people who arrived when a birthday coincidence occurred, that is, the last person who arrived has the same birthday as one of the people who were already at the party. (a) What are the possible values of X? (b) What is your PMF?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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The guests of a party arrive one by one. If X is the number of people who arrived when a birthday coincidence occurred, that is, the last person who arrived has the same birthday as one of the people who were already at the party.
(a) What are the possible values of X?
(b) What is your PMF?

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