Question:-
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 computerbeing declared faulty?
Option (A)
pq + (1- p)(1- q)
Option (B)
(1 –q) p
Option(C)
(1- p) q
Option(D)
pq
Correct Option:
(A)
Question Solution:
Given, the probability of faulty assembly of the computers=p

\ The probability of non faulty assembly of the computers=1-p

The probability of correct result for any computer in testing process=q
\ The probability of correct result for any computer in testing process=1-q

The probability of a computer being declared faulty=

probability of being faulty and probability of being declared or

probability of not being faulty and probability of declaring incorrectly.

= pq+(1-p)(1-q)
question-answer-faq-2230