Let x1; ... ; xn be the observed values of a random sample of size n from the following distribution f(x; B) = B^(-1) e^(-x/B) x > 0 Obtain the maximum likelihood estimator of the probability that the next observation is greater than 1. Solution By the invariance property of MLEs, if you find the probability that the next obs is greater than one, you can plug in the MLE..