MathDB
Miklós Schweitzer 1960- Problem 10

Source:

November 21, 2015
college contests

Problem Statement

10. A car is used by nn drivers. Every morning the drivers choose by drawing that one of them who will drive the car that day. Let us define the random variable μ(n)\mu (n) as the least positive integer such that each driver drives at least one day during the first μ(n)\mu (n) days. Find the limit distribution of the random variable
μ(n)−nlog⁡nn\frac {\mu (n) -n \log n}{n}
as n→∞n \to \infty. (P. 9)
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