Problem 5 An engineering project management firm divides projects into three risk categories: 70% of projects are low risk, 20% are medium risk, and 10% are high risk. Based on historical data, a low risk has a 0.03 probability of not being completed on time, a medium risk project has a 0.11 probability of not being completed on time, and a high risk project has a 0.23 probability of not being completed on time. a. What is the probability that the project is low risk and is completed on time? b. What is the probability that a project is not completed on time? c. Given that the project was not completed on time, what is the probability that it was considered to be low risk?
Problem 5 An engineering project management firm divides projects into three risk categories: 70% of projects are low risk, 20% are medium risk, and 10% are high risk. Based on historical data, a low risk has a 0.03 probability of not being completed on time, a medium risk project has a 0.11 probability of not being completed on time, and a high risk project has a 0.23 probability of not being completed on time. a. What is the probability that the project is low risk and is completed on time? b. What is the probability that a project is not completed on time? c. Given that the project was not completed on time, what is the probability that it was considered to be low risk?
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:Problem 5
An engineering project management firm divides projects into three risk categories: 70% of
projects are low risk, 20% are medium risk, and 10% are high risk. Based on historical data, a
low risk has a 0.03 probability of not being completed on time, a medium risk project has a 0.11
probability of not being completed on time, and a high risk project has a 0.23 probability of not
being completed on time.
a. What is the probability that the project is low risk and is completed on time?
b. What is the probability that a project is not completed on time?
c. Given that the project was not completed on time, what is the probability that it was
considered to be low risk?
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