Birthdays. It is somewhat surprising to learn the probability that 2 persons in a class share the

Question:

Birthdays. It is somewhat surprising to learn the probability that 2 persons in a class share the same birthday. As an approximation, assume that the 365 days are equally likely birthdays.

(a) What is the probability that, among 3 persons, at least 2 have the same birthday?

(Hint: The reasoning associated with a tree diagram shows that there are 365 365 365 possible birthday outcomes. Of these, 365

364 363 correspond to no common birthday.)

(b) Generalize the above reasoning to N persons.

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Statistics Principles And Methods

ISBN: 9780470409275

6th Edition

Authors: Richard A. Johnson

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Question Posted: Sep 16, 2024 04:01 AM

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Birthdays. It is somewhat surprising to learn the probability that 2 persons in a class share the

Question:

P[No common birthday] = 365 x 364 Xx (365 N + 1) (365)N Some numerical values are N 5 9 18 22 23 P[No common .973 .905 .653 .524 .493 birthday] We see that with N = 23 persons, the proba- bility is greater than that at least two share a common birthday.)

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Statistics Principles And Methods

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