Where the arrivals land
Trades hit a venue as a Poisson process. Given that exactly trades arrived during a one-hour session, what is the probability that exactly of them fell in the first minutes of the hour? (to 3 decimals)
Show hints (2)+
- Given the count, arrival times are independent Uniform draws over the interval.
- Each of the 3 lands in the first third with prob 1/3; count "2 of 3" with a binomial.
Answer
Reveal answer →Final answer
0.2222 (± 0.005)
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Asked at: Jane Street, Two Sigma