95. Rand Corporation produces electrical components utilizing three non-overlapping work shifts. It is observed that 50%, 30% and 20% of the components are produced during shift 1,2 and 3 respectively. Furthermore 6%, 10% and 8% components produced in shift 1, 2 and 3 respectively are defective. Determine : (a) What percentage of all components is defective ? (b) Given that a defective component is found, what is the probability that is was produced during shift 3 ? (c) If one shift has to be closed down which one should it be ? What effect would it have on the overall defects to good prices ratio ?
95. Rand Corporation produces electrical components utilizing three non-overlapping work shifts. It is observed that 50%, 30% and 20% of the components are produced during shift 1,2 and 3 respectively. Furthermore 6%, 10% and 8% components produced in shift 1, 2 and 3 respectively are defective. Determine : (a) What percentage of all components is defective ? (b) Given that a defective component is found, what is the probability that is was produced during shift 3 ? (c) If one shift has to be closed down which one should it be ? What effect would it have on the overall defects to good prices ratio ?
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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![95. Rand Corporation produces electrical components utilizing
three non-overlapping work shifts. It is observed that 50%, 30% and 20% of
the components are produced during shift 1,2 and 3 respectively. Furthermore
6%, 10% and 8% components produced in shift 1, 2 and 3 respectively are
defective. Determine :
(a) What percentage of all components is defective ?
(b) Given that a defective component is found, what is the probability that
is was produced during shift 3 ?
(c) If one shift has to be closed down which one should it be ? What effect
would it have on the overall defects to good prices ratio ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8de0e1e0-d2c9-4627-a818-2ac1e4762fc5%2Fafb6d892-debd-4450-a216-d9dcc068f0b3%2Fhhl1e8n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:95. Rand Corporation produces electrical components utilizing
three non-overlapping work shifts. It is observed that 50%, 30% and 20% of
the components are produced during shift 1,2 and 3 respectively. Furthermore
6%, 10% and 8% components produced in shift 1, 2 and 3 respectively are
defective. Determine :
(a) What percentage of all components is defective ?
(b) Given that a defective component is found, what is the probability that
is was produced during shift 3 ?
(c) If one shift has to be closed down which one should it be ? What effect
would it have on the overall defects to good prices ratio ?
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