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1 vote
0 answers
207 views

Birthday problem: Poisson vs binomial random variable

From this post, the birthday problem involving more than 2 people can be approximated using a Poisson random variable. But I am wondering whether a binomial random variable can be used here. I imagine ...
Jimmy Yang's user avatar
2 votes
1 answer
1k views

Poisson paradigm in "near-birthday problem" example

I am presented with an example called the "near-birthday problem": What if we want to find the number of people required in order to have a 50-50 chance that two people would have birthdays within ...
Dom Fomello's user avatar
0 votes
0 answers
79 views

Probability 33 people in a group of 100,000 have the same birthday? Assuming years have 365,000 days.

Probability 33 people in a group of 100,000 have the same birthday? Assuming years have 365,000 days. Would this Poisson Formula work? Updated! Note to OP: Probability of exactly $33$ people have ...
Ian Hoyos's user avatar
5 votes
1 answer
210 views

How many days are needed to cover at least half of all birthdays in a group of people?

My question is related to this question. I am wondering if we have a large crowd of $2000$ people: what is the expected minimum number days of the year we have to pick in order for at least half of ...
Bram28's user avatar
  • 101k
0 votes
1 answer
1k views

Poisson Distribution Problem relating to birthdays

Consider a random collection of n individuals. When approximating the probability that no 3 of these individuals share the same birthday, a better Poisson approximation than that obtained in the text (...
hawk2015's user avatar
  • 117