Yearly automobile inspections are required for residents of the state of Pennsylvania. Suppose that 12% of all inspected cars in Pennsylvania have problems that need to be corrected. Unfortunately, Pennsylvania state inspections fail to detect these problems 20% of the time. On the other hand, assume that an inspection never detects a problem when there is no problem. Consider a car that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?

Yearly automobile inspections are required for residents of the state of Pennsylvania. Suppose that 12% of all inspected cars in Pennsylvania have problems that need to be corrected. Unfortunately, Pennsylvania state inspections fail to detect these problems 20% of the time. On the other hand, assume that an inspection never detects a problem when there is no problem. Consider a car that is inspected and is found to be free of problems. What is the probability that there is indeed something wrong that the inspection has failed to uncover?

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...

See similar textbooks

Similar questions

If you select a random sample of 144 smartphone owners, what is the probability that the sample mean is between 22.5 and 23.5?
It is known that 19% of people ride public transport without paying for it. We talk to 82 people who have been on public transport in the last month. What is the probability that the sample proportion is more than 22%?
Dr. Verde conducted an experiment in which she randomly assigned each subject a colored pencil and then asked them to choose their favorite color. Her results showed that neither the distribution of the assigned pencil colors or the subjects' preferred colors conformed to their expected theoretical probability values. If she repeats the experiment with a much larger sample, how would you expect her results to change and why? Answer in complete sentences. UPLOAD
Approximately 10% of the population is left-handed. What is the probability that exactly two students among the 20 students in a Statistics class is left-handed?
It is known that the use of banned drugs can contribute to mental illness. The minister of health wants to put a cost to this disaster and request that you take a study. In Barbados 40% of mentally ill blame their illness on drugs. Without previous knowledge in Jamaica we assume that this is the same proportion here. You selected a random sample of 12Bellevue patients to review. What is the probability that 6 patients used the drugs that caused their illness.
please answer the question down below!
The probability of the Dow Jones index rising on the first day of trading next week is thought to be 0.6. If it does rise then the probability that the value of shares in a publishing company will rise is 0.8. If the index does not rise then the publishing company’s shares will only have a 0.3 probability of rising. What is the probability that the publishing company’s shares will rise in value on the first day of trading next week?
What are the reasoning or arguments surrounding the below statement: "Statistical research shows that the probability of a person who takes one alcoholic drink are at a greater risk of getting into a car accident than someone who recently smoked marijuana
Suppose a basketball player makes 57.7% of shots and that the probabilty of making each shot is independent. If the basketball player attempts 3 shots, what is the probability of making at least one shot? Enter your answer rounded to at least 4 decimals.
It is believed that 42% of American cell phone users have some version of an iPhone. If a random sample of 250 Americans with cell phones is taken, what is the probability the sample proportion of iPhone users will be greater than 45.5%?