Prove that if X is a positive, continuous, memoryless random variable with distribution function F, then F (t) = 1 et for some > 0. This shows that the exponential is the only distribution on (0,) with the memoryless property.

Statistics: Chapter 3.1 1. Mean: average of a set of numbers a. (sum of all data values) / (number of values) b. Mean = (Σx) / (n) i. Let x be a quantitative variable with n measured data value from a population of n. c. Example: i. 10, 15, 20, 25….625 ii. (n+1) / 2 iii. “n”...