Calc expected value of 5 random number with uniform distribution Assume we have a random numbers $\sim U(0,100)$.
Then the expected value of that number will be: $\int_{0}^{100} \frac{x}{100}$ = 50.5
Now assume we have 5 random numbers $\sim U(0,100)$.
How can I calculate what would be the expected value of the maximal number?
Thanks.

You need to learn about order statistics:
https://en.wikipedia.org/wiki/Order_statistics
The maximum of five independent observations is the fifth order statistic (of that sample). In your case, that will have a certain (scaled) beta distribution. You can find the datails in wikipedia above. In your case it will be (100 multiplied by) a beta(5,1)-variable, with expectation $100 \cdot \frac{5}{6}$.
