In: Statistics and Probability
Three distinct methods, A, B, and C, are available for teaching a certain industrial skill.
The failure rates are 40%, 30%, and 20%, respectively.
However, due to costs, A is used twice as frequently as B, which is used twice as frequently as C.
(a) What is the overall failure rate in teaching the skill?
(b) A worker is taught the skill, but fails to learn it correctly. What is the probability he was taught by method A?