LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
83 views
in Probability by (31.0k points)
closed by

A machine operates only when all of its three components function. The probabilities of the failures of the first, second and third components are 0.14, 0.10 and 0.05, respectively. What is the probability that the machine will fail?

1 Answer

+1 vote
by (31.5k points)
selected by
 
Best answer

Given: let A ,B and C be the three components of a machine which works only if all its three compenents function.

the probabilities of the failures of A,B and C respectively is given i.e, 

P(A) = 0.14 ,P(B) = 0.10 and P(C) = 0.05

\(\Rightarrow\) P(\(\overline A\)) = = 0.86 and P(\(\overline B\)) = 0.90 and P(\(\overline C\)) = 0.95

To Find: The probability that the machine will fail.

Here, P(the machine will fail) = 1 – P(the machine will function)

= 1 – P(all three components are working)

Therefore, The probability that the machine will fail is 0.2647.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...