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In: Statistics and Probability

Three distinct methods, A, B, and C, are available for teaching a certain industrial skill. The...

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?

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