Problem 2 You're a quality control engineer working for Tinker Air Force Base. The length, width, and height of a manufactured part used in the maintenance, repair, and overhaul of a particular aircraft type are classified as being either within or outside specified tolerance limits. In a quality inspection, 86% of the parts are found to be within the specified tolerance limits for width, but only 80% of parts are within specified limits for all three dimensions. Further, 2% of the parts are within the limits for width and length but not for height, and 3% of parts are within limits for width and height but not length. Also, 92% of parts are within limits for either width or height or both. If a part is within the specified tolerance limits for height, what is the probability that it will also be within the specified limits for width?
Problem 2 You're a quality control engineer working for Tinker Air Force Base. The length, width, and height of a manufactured part used in the maintenance, repair, and overhaul of a particular aircraft type are classified as being either within or outside specified tolerance limits. In a quality inspection, 86% of the parts are found to be within the specified tolerance limits for width, but only 80% of parts are within specified limits for all three dimensions. Further, 2% of the parts are within the limits for width and length but not for height, and 3% of parts are within limits for width and height but not length. Also, 92% of parts are within limits for either width or height or both. If a part is within the specified tolerance limits for height, what is the probability that it will also be within the specified limits for width?
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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Transcribed Image Text:Problem 2
You're a quality control engineer working for Tinker Air Force Base. The length, width, and
height of a manufactured part used in the maintenance, repair, and overhaul of a particular
aircraft type are classified as being either within or outside specified tolerance limits. In a
quality inspection, 86% of the parts are found to be within the specified tolerance limits for
width, but only 80% of parts are within specified limits for all three dimensions. Further, 2% of
the parts are within the limits for width and length but not for height, and 3% of parts are
within limits for width and height but not length. Also, 92% of parts are within limits for either
width or height or both. If a part is within the specified tolerance limits for height, what is the
probability that it will also be within the specified limits for width?
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