Let X1,X2,⋯∼Unif(0,1) IID. Let N be the first index n where Xn=min{X1,…,Xn}. Find E[XN−1] i.e. the smallest value among the first N values selected. The answer will be in the form a+be for integers a and b. Note here that e is Euler's constant. Find a+b.
