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: а. Р(А) b. P(A')_ с. Р(B/А) d. P(B|A') e. P(ANB) f. P(ANB') g. P(B)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 53E
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7. 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:
а. Р(А)
b. P(A')
c. P(B|A)
d. P(B|A')
e. P(ANB)
f. P(ANB')
д. P(B)
Transcribed Image Text:7. 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: а. Р(А) b. P(A') c. P(B|A) d. P(B|A') e. P(ANB) f. P(ANB') д. P(B)
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