Based on a quick examination, a computer specialist estimates that there is a 0.8 probability that a computer failure has been caused by a fault in the computer’s motherboard. However, an electronic test which has a 90% probability of giving a correct indication and which can be assumed to be unbiased, indicates that the problem is not caused by the motherboard. The posterior probability that there is a fault in the motherboard is: Select one: a. 0.31 b. 0.26 c. impossible to calculate from the information given

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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Based on a quick examination, a computer specialist estimates that there is a 0.8 probability that a computer failure has been caused by a fault in the computer’s motherboard. However, an electronic test which has a 90% probability of giving a correct indication and which can be assumed to be unbiased, indicates that the problem is not caused by the motherboard. The posterior probability that there is a fault in the motherboard is:
Select one:
a. 0.31
b. 0.26
c. impossible to calculate from the information given
 
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