STAT330 Study Guide - Quiz Guide: Statistical Hypothesis Testing, Electrical Network

• School: University of Waterloo
• Department: Statistics
• Course: STAT330
• Professor: Christine Dupont

Document Summary

Assignment 1: suppose x follows geo(p) distribution with 0 < p < 1. Here v is called the degrees of freedom. Its pdf is given by f (x) = 2v/2 (v/2) xv/2 1e x/2, x > 0 and f (x) = 0 if x 0. Suppose x 2(v). (a) show that(cid:82) . Suppose x has n (0, 1) distribution and (x) is the cdf of. If either bulb fails, the other bulb will not operate. Let x and y denote the lifetimes (in days) of the rst and second bulbs respectively. Why? (c) find the probability that both bulbs do not operate after 1 day. (d) suppose now that the circuit is rearranged so that the two bulbs are now in parallel. Find the pdf of t . (e) in another arrangement of the circuit, we use only one bulb at a time. Upon failure, the bulb will be replaced immediately with the second bulb.