PSTAT 120A Study Guide - Final Guide: Moment-Generating Function, Cumulative Distribution Function, Xu
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E[x 2]: let x be a continuous random variable with density function fx (t) =(a t + b 2 < t < 2 otherwise. This may be in terms of a. (c) find var(x). 1 if n 5 and 0 otherwise. Explain your reasoning! (d) find e[(x + y )2]: let u1 and u2 be two independent, uniform random variables on [0, 1]. For example, a possible computer password is guest26471. (b) assume that every computer password cyril develops is equally likely. For example, a possible computer password is guest35355. 1: at the beginning of the hunger games, you want to pick ve items from the cornucopia, a place lled with di erent items. The cornucopia contains 8 weapons, 3 tents, 2 backpacks, and 7 loaves of bread. What is the probability that the ve items you pick are 2 weapons, 1 backpack, and 2 loaves of bread: you"ve been bitten by a zombie!