0 votes 0 votes Three vendors were asked to supply a very high precision component. The respective probabilities of their meeting the strict design specifications are $0.8$, $0.7$ and $0.5$. Each vendor supplies one component. The probability that out of total three components supplied by the vendors, at least one will meet the design specification is ___________ Machine Design gateme-2015-set2 numerical-answers machine-design applied-mechanics-and-design + – Arjun asked Feb 24, 2017 • recategorized Mar 4, 2021 by Lakshman Bhaiya ♦Arjun 28.5k points answer See all 0 reply
1 votes 1 votes P(atleast one) = 1 – P(none) P(1st vendor not satisfying) = 1 – 0.8) =0.2 P(2nd vendor not satisfying) = 1 – 0.7) =0.3 P(3rd vendor not satisfying) = 1 – 0.5) =0.5 Therefore, P(none) = 0.2*0.3*0.5 = 0.03 Hence ans = 1 – 0.03 = 0.97 studygate answered Aug 2, 2019 studygate 160 points 1 comment Share ask related question See all 0 reply Please log in or register to add a comment.