A certain brand of electric circuit boards are rated excellent, acceptable, or unacceptable Suppose that 30% of these bo

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answerhappygod
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A certain brand of electric circuit boards are rated excellent, acceptable, or unacceptable Suppose that 30% of these bo

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A certain brand of electric circuit boards are rated excellent, acceptable, or unacceptable
Suppose that 30% of these boards are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent boards fail, 20% of acceptable boards fail, and 100% of unacceptable boards fail.
(a) Find the probability that a randomly selected board is rated excellent and fails.
(b) Find the probability that a randomly selected board does not fail.
(c) Given that a randomly selected board fails, find the probability that it was rated excellent.
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