The power-take-off (PTO) connects an implement, such as a sprayer or mower, to a farm tractor and provides the driving force for the implement. One of the hazards of farming is possible entanglement in the PTO while the tractor is running. To prevent such accidents and the injuries that can result, implement manufacturers have provided tractors with a PTO shield to cover the PTO shaft and a specified pushpin to connect the PTO to the implement input driveline. Frequently during maintenance, the farmer must remove the PTO shield. During reassembly and preparation for use, the farmer replaces the shield only 88% of the time and uses the specified pushpin, rather than substituting an ordinary bolt, 97% of the time. For safe operation both the shield and the pushpin need to be in place. Fill in the following event- tree diagram with the probabilities of task success and failure (Task 1 = shield replacement; Task 2 = pushpin use), and calculate the probability that the farmer maintains the equipment in accordance with safety specifications. Assume that performance of Task i is independent of the performance of Task 2. a. (b) success What is the classification of the error that occurs at (a)? a. b. What is the classification of the error that occurs at (b)?
The power-take-off (PTO) connects an implement, such as a sprayer or mower, to a farm tractor and provides the driving force for the implement. One of the hazards of farming is possible entanglement in the PTO while the tractor is running. To prevent such accidents and the injuries that can result, implement manufacturers have provided tractors with a PTO shield to cover the PTO shaft and a specified pushpin to connect the PTO to the implement input driveline. Frequently during maintenance, the farmer must remove the PTO shield. During reassembly and preparation for use, the farmer replaces the shield only 88% of the time and uses the specified pushpin, rather than substituting an ordinary bolt, 97% of the time. For safe operation both the shield and the pushpin need to be in place. Fill in the following event- tree diagram with the probabilities of task success and failure (Task 1 = shield replacement; Task 2 = pushpin use), and calculate the probability that the farmer maintains the equipment in accordance with safety specifications. Assume that performance of Task i is independent of the performance of Task 2. a. (b) success What is the classification of the error that occurs at (a)? a. b. What is the classification of the error that occurs at (b)?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Transcribed Image Text:Case
The power-take-off (PTO) connects an implement, such as a sprayer or mower, to a farm tractor and
provides the driving force for the implement. One of the hazards of farming is possible entanglement in
the PTO while the tractor is running. To prevent such accidents and the injuries that can result,
implement manufacturers have provided tractors with a PTO shield to cover the PTO shaft and a
specified pushpin to connect the PTO to the implement input driveline. Frequently during maintenance,
the farmer must remove the PTO shield. During reassembly and preparation for use, the farmer replaces
the shield only 88% of the time and uses the specified pushpin, rather than substituting an ordinary bolt,
97% of the time. For safe operation both the shield and the pushpin need to be in place.
Fill in the following event-
tree diagram with the probabilities of task success and failure (Task 1 = shield replacement; Task 2
= pushpin use), and calculate the probability that the farmer maintains the
equipment in accordance with safety specifications. Assume that performance of Task 1 is independent
of the performance of Task 2.
a.
(b)
success
a.
What is the classification of the error that occurs at (a)?
b.
What is the classification of the error that occurs at (b)?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education