Electric circuit boards are rated excellent, acceptable, or unacceptable. Suppose that 30% of boards are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent boards fail, 20% of acceptable boards fail and 90% of unacceptable boards fail. (a) What is the probability that a board fails? (b) Given that a board fails, what is the probability that it was rated excellent?
Electric circuit boards are rated excellent, acceptable, or unacceptable. Suppose that 30% of boards are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent boards fail, 20% of acceptable boards fail and 90% of unacceptable boards fail. (a) What is the probability that a board fails? (b) Given that a board fails, what is the probability that it was rated excellent?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Electric circuit boards are rated excellent, acceptable, or unacceptable. Suppose that 30% of boards
are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent
boards fail, 20% of acceptable boards fail and 90% of unacceptable boards fail.
(a) What is the probability that a board fails?
(b) Given that a board fails, what is the probability that it was rated excellent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8fda9bf-b155-429c-a167-1a44e8db316c%2F54adac3f-a3d8-4b43-8021-9728e5d2e5cb%2F08jtdm7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Electric circuit boards are rated excellent, acceptable, or unacceptable. Suppose that 30% of boards
are excellent, 60% are acceptable, and 10% are unacceptable. Further, suppose that 10% of excellent
boards fail, 20% of acceptable boards fail and 90% of unacceptable boards fail.
(a) What is the probability that a board fails?
(b) Given that a board fails, what is the probability that it was rated excellent?
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