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172Poisson Approximation Threshold for Near CollisionsUse the pair-Poisson approximation for birthdays on a 365-day circular calendar where a pair counts as a collision if the birthdays are the same day or one day apart. What is the smallest n for which the approximated collision probability exceeds 50%?概率简单数值题未尝试免费173Expected Number of Singleton BirthdaysFor n independent uniform birthdays on a 365-day calendar, what is the expected number of people whose birthday is unique in the sample?概率中等derivation未尝试面试订阅174Expected Number of Days With Exactly Two BirthdaysFor n independent uniform birthdays on a 365-day calendar, what is the expected number of calendar days that receive exactly two birthdays?概率中等derivation未尝试面试订阅175Expected Number of Days With at Least Three BirthdaysFor n independent uniform birthdays on a 365-day calendar, what is the expected number of calendar days that receive at least three birthdays?概率困难derivation未尝试面试订阅