Problem #34
Choose the points x1, ..., xn randomly
from the interval [0,1] using a uniform distribution.
- What is the expected value of the minimum length of the resulting
subintervals?
- What is the expected value of the maximum length of the resulting
subintervals?
In other words, if a stick of length 1 is randomly broken into n +
1 pieces, what is the expected value of the length of the shortest piece
and of the longest piece?