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People are arriving at a party one at a time while waiting

Question: People are arriving at a party one at a time. While waiting for more people to arrive they entertain themselves by comparing their birthdays. Let X be the number of people needed to obtain a birthday match, i.e., before person X arrives there are no two people with the same birthday, but when person X arrives there is a match. Find the PMF of X.

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Basic Statistics: People are arriving at a party one at a time while waiting

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Basic Statistics: People are arriving at a party one at a time while waiting

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