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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Need help 5,6 please with proper explanation
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
that she guessed given that she got question 12 right?
8. 20% of people are "accident-prone" and have a probability of 0.15 of having an accident in a
1-year period in contrast to a probability of 0.05 for the other 80% of people. (a) If we pick a
person at random, what is the probability that they will have an accident this year? (b)What is
the probability a person is accident-prone if they had an accident last year? (c) What is the
probability that they will have an accident this year if they had one last year?
Transcribed Image Text: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 that she guessed given that she got question 12 right? 8. 20% of people are "accident-prone" and have a probability of 0.15 of having an accident in a 1-year period in contrast to a probability of 0.05 for the other 80% of people. (a) If we pick a person at random, what is the probability that they will have an accident this year? (b)What is the probability a person is accident-prone if they had an accident last year? (c) What is the probability that they will have an accident this year if they had one last year?
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