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Measurements made by a surveyor with a total station carry errors. Based on previous measurements and when the weather is sunny, the errors made by a surveyor follow a lognormal distribution with a mean value of 5 mm and a standard deviation of 2 mm. When t is rainy, the measurement errors made by the surveyor are lognormal distributed with a mean of 6 mm and a standard deviation of 3 mm. For a particular construction project, errors of more than 8 mm during the measurement stage will result in extra costs from adjustments in materials and design. It is expected that the 35% of the time there will be rainy conditions during the measurement stage.

Measurements made by a surveyor with a total station carry errors. Based on previous measurements and when the weather is sunny, the errors made by a surveyor follow a lognormal distribution with a mean value of 5 mm and a standard deviation of 2 mm. When t is rainy, the measurement errors made by the surveyor are lognormal distributed with a mean of 6 mm and a standard deviation of 3 mm. For a particular construction project, errors of more than 8 mm during the measurement stage will result in extra costs from adjustments in materials and design. It is expected that the 35% of the time there will be rainy conditions during the measurement stage.

A First Course in Probability (10th Edition)
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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Measurements made by a surveyor with a total station carry errors. Based on previous measurements and when the weather is sunny, the errors made by a surveyor follow a lognormal distribution with a mean value of 5 mm and a standard deviation of 2 mm. When it is rainy, the measurement errors made by the surveyor are lognormal distributed with a mean of 6 mm and a standard deviation of 3 mm. For a particular construction project, errors of more than 8 mm during the measurement stage will result in extra costs from adjustments in materials and design. It is expected that the 35% of the time there will be rainy conditions during the measurement stage. Answer the following: b) If extra costs occur due to measurement errors, what is the probability that the measurements occurred during a sunny day?
Transcribed Image Text:Measurements made by a surveyor with a total station carry errors. Based on previous measurements and when the weather is sunny, the errors made by a surveyor follow a lognormal distribution with a mean value of 5 mm and a standard deviation of 2 mm. When it is rainy, the measurement errors made by the surveyor are lognormal distributed with a mean of 6 mm and a standard deviation of 3 mm. For a particular construction project, errors of more than 8 mm during the measurement stage will result in extra costs from adjustments in materials and design. It is expected that the 35% of the time there will be rainy conditions during the measurement stage. Answer the following: b) If extra costs occur due to measurement errors, what is the probability that the measurements occurred during a sunny day?
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