Expected Value of Minimum of $n$ i.i.d. Uniform Random Variable
Given $n$ independent random variables from $\mathcal{U}(0,1)$, what is the expected value of minimum, second minimum, …, maximum of them?
Given $n$ independent random variables from $\mathcal{U}(0,1)$, what is the expected value of minimum, second minimum, …, maximum of them?