25 votes 25 votes Consider a company that assembles computers. The probability of a faulty assembly of any computer is $p$. The company therefore subjects each computer to a testing process. This testing process gives the correct result for any computer with a probability of $q$. What is the probability of a computer being declared faulty? $pq + (1 - p)(1 - q)$ $(1 - q)p$ $(1 - p)q$ $pq$ Probability gatecse-2010 probability easy + – gatecse asked Sep 21, 2014 • edited Jun 7, 2018 by Milicevic3306 gatecse 7.6k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply lolmloltaklo commented Jan 7, 2019 reply Follow Share in this question two options ( B & C ) are same please correct it @Arjun 1 votes 1 votes rish1602 commented Sep 17, 2021 reply Follow Share I understood the question, But Isn’t there a conditional probablity. Because the system is declaring computers faulty if they are faulty. And if this is conditional probablity then how can it be done using it? 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Probability of faculty assembly of any computer=p The probability that the testing process gives the correct result= q probability of a computer being declared faulty =(pq)+(1-p)(1-q) Hence the correct answer is pq + (1 - p) (1 - q) ANIL Kr. answered Sep 23, 2023 ANIL Kr. comment Share Follow See all 0 reply Please log in or register to add a comment.
