MATH 377 Study Guide - Final Guide: U.S. Route 30 In Pennsylvania, Sample Space

• School: ACU
• Department: Mathematics/Mathematics Workshop
• Course: MATH 377
• Professor: Edward Aviles

Document Summary

Bayes theorem: if the events that is the event other event of s such that it can occur only if one of the. 2 from a partition of sample space s ia are mutually exclusive and their union is s and if b is any ia occurs then for any i. A / b i by i ii iii. Example: in a bolt factory machines a, b and c manufacture 25 ,35 and 40 percent of the total output respectively. Of their outputs 5,4,2 percent respectively are defective bolts. A bolt is selected at random and found to be defective. Let e be the event that bolt is defective. Example: an urn contains four balls which are known to be either (i) all white (ii) two white and two black. A ball is drawn at random and is found to be white. Solution: let assumption that two balls are white and two black.