4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your neighbor is not happy with his plumber, what is the probability that it was Bob?
4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your neighbor is not happy with his plumber, what is the probability that it was Bob?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:4. Plumber Bob does 40% of the plumbing jobs in a small town. 30% of the people in town are
unhappy with their plumbers, but 50% of Bob's customers are unhappy with his work. If your
neighbor is not happy with his plumber, what is the probability that it was Bob?
5. You are going to meet a friend at the airport. Your experience tells you that the plane is late 70%
of the time when it rains, but is late only 20% of the time when it does not rain. The weather
forecast that morning calls for a 40% chance of rain. What is the probability that the plane will be
late?
6. The alpha fetal protein test is meant to detect spina bifida in unborn babies, a condition that
affects 1 out of 1,000 children who are born. The literature on the test indicates that 5% of the
time a healthy baby will cause a positive reaction. We will assume that the test is positive 100%
of the time when spina bifida is present. Your doctor has just told you that your alpha fetal
protein test was positive. What is the probability that your baby has spina bifida?
7. A student is taking a multiple-choice exam in which each question has four possible answers. She
knows the answers to 60% of the questions and guesses at the others. What is the probability
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