In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots. This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of batches consisting of two or more lots of material is more difficult to control, and 40% of such batches require additional processing to achieve the required viscosity. Let A denote the event that a batch is formed from two different lots, and let B denote the event that a lot requires additional processing. Determine the following probabilities: a P(A) b. P(AL c. P(BIA) d. P(BJA') e. P(ANB) f. P(ANB') g. P(B)
In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots. This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of batches consisting of two or more lots of material is more difficult to control, and 40% of such batches require additional processing to achieve the required viscosity. Let A denote the event that a batch is formed from two different lots, and let B denote the event that a lot requires additional processing. Determine the following probabilities: a P(A) b. P(AL c. P(BIA) d. P(BJA') e. P(ANB) f. P(ANB') g. P(B)
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:In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different lots.
This occurs when holding tanks are replenished and the remaining portion of a lot is insufficient to fill the
tanks. Only 5% of batches with material from a single lot require reprocessing. However, the viscosity of
batches consisting of two or more lots of material is more difficult to control, and 40% of such batches
require additional processing to achieve the required viscosity. Let A denote the event that a batch is
formed from two different lots, and let B denote the event that a lot requires additional processing.
Determine the following probabilities:
a. P(A)
b. P(AL
с. Р[ВА)
d. P(BIA')
e. P(ANB)
f. P(ANB)
g. P(B)
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