Math Problem Statement
A machine produces parts that are either good (90%), slightly defective (2%), or obviously defective (8%). Produced parts get passed through an automatic inspection machine, which is able to detect any part that is obviously defective and discard it. The machine passes the part if it is not obviously defective. If it makes through the inspection machine and get shipped, what is the probability that it is a good quality part?
Select one:
0.9
0.978
0.742
0.685
None of the above
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Formulas
P(G|P) = P(G ∩ P) / P(P)
P(P) = P(G) + P(S)
Theorems
Bayes' Theorem
Law of Total Probability
Suitable Grade Level
College-Level or Advanced High School
Related Recommendation
Bayes' Theorem: Probability of Non-Defective Product from Machine 2
Probability of Defective Item from Machine A or B Using Bayes' Theorem
Calculate Probability of Defective Ball Bearing on Friday Using Bayes' Theorem
Probability and Conditional Probability Problem Solution
Calculate Probability Using Bayes' Theorem: Problem Solution