All Questions
Tagged with birthday random-variables
6
questions
1
vote
2
answers
71
views
Birthday problem: how to show the scaling with $1/N^2$?
Suppose there is a sequence of$N$ numbers $x_1, x_2, x_3, ... x_N$.
There are then gaps $|x_i - x_j|$, and the minimum gap:
$\delta (N) = \text{min}_{i \ne j \le N} \{ | x_i -x_j | \}$.
Let the mean ...
- 655
1
vote
1
answer
195
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Birthday Problem: Confusion between PMF and CDF -
The question:
(Introduction to Probability, Blitzstein and Nwang, p.128)
People are arriving at a party one at a time. While waiting for more
people to arrive they entertain themselves by comparing ...
4
votes
1
answer
503
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Random Variable - Birthday Problem
How many people are needed so that the probability that at least two of them were born on the same day of the week is at least 1/2? (Assume that the days of the week are equally likely to be the ...
- 97
9
votes
3
answers
7k
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Solution conflict: Expected number of distinct birthdays for $100$ people
I was given a homework question that is stated in the title. Although I have a conflict with the solution provided, and was wondering if you could help me understand why the solution is correct or if ...
- 1,309
5
votes
1
answer
6k
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Birthday problem among k people
Consider a group of $n$ people. Assume that each person's birthday is drawn uniformly at random from the $365$ possibilities. What is the smallest value of such ...
- 875
0
votes
1
answer
3k
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Birthday Problem (Poisson Distribution)
I've been reading up on Poisson Distributions and have come across the following problem. My doubts are in Bold:
What's the probability that in a room of n people, nobody shares the same birthday?
Q....
- 445