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Clarified the dependency on the variables
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edit approved Sep 12, 2018 at 4:30
David G. Stork
edit approved Sep 12, 2018 at 4:30
David G. Stork
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The probability density function of the number of coins to makefirst fill one box fullof $N$

Given $N$ boxes with the same capacity $C$, I toss the coins tointo the boxes uniformly, one by one. When anyone When any one of the boxes is full, the sum of the coins in all boxes is denoted by $S$. How How to compute the probability density function of $S$$S(N,C)$?

The probability density function of the number of coins to make one box full

Given $N$ boxes with the same capacity $C$, I toss the coins to the boxes uniformly one by one. When anyone of the boxes is full, the sum of the coins in all boxes is denoted by $S$. How to compute the probability density function of $S$?

The probability density function of the number of coins to first fill one box of $N$

Given $N$ boxes with the same capacity $C$, I toss coins into the boxes uniformly, one by one. When any one of the boxes is full, the sum of the coins in all boxes is denoted $S$. How to compute the probability density function of $S(N,C)$?

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The probability density function of the number of coins to make one box full

Given $N$ boxes with the same capacity $C$, I toss the coins to the boxes uniformly one by one. When anyone of the boxes is full, the sum of the coins in all boxes is denoted by $S$. How to compute the probability density function of $S$?