A truth serum given to a suspect is known to be 82 percent reliable when the person is guilty and 94 percent reliable when the person is innocent. In other words, 18 percent of the guilty are judged innocent by the serum and 6 percent of the innocent are judged guilty. If the suspect was selected from a group of suspects of which only 8 percent are guilty of having committed a crime, and the serum indicates that the suspect is guilty of having committed a crime, what is the probability that the suspect is innocent? (Round your answer to 3 decimal places.)

A truth serum given to a suspect is known to be 82 percent reliable when the person is guilty and 94 percent reliable when the person is innocent. In other words, 18 percent of the guilty are judged innocent by the serum and 6 percent of the innocent are judged guilty. If the suspect was selected from a group of suspects of which only 8 percent are guilty of having committed a crime, and the serum indicates that the suspect is guilty of having committed a crime, what is the probability that the suspect is innocent? (Round your answer to 3 decimal places.)

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?
An economics professional body estimates that 80% of the students taking undergraduate economics courses are in favour of studying of statistics as part of their studies. If this estimate is correct, what is the probability that more than 790 undergraduate economics students out of a random sample of 1000 will be in favour of studying statistics?
If a seed is planted, it has a 95% chance of growing into a healthy plant.If eleven seeds are planted, what is the probability that exactly three don't grow?
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?
62% of Armenian students own a personal computer. What is the probability that the proportion of students that do not have personal computer in the sample of 25 students is less than 40%?
A web server's visit always comes from five sites. The percentages of known visits from sites 1, 2, 3, 4 and 5 are 20%, 30%, 15%, 10% and 25% respectively. The probability of visits from five sites lasting more than 2 minutes is 0.4, 0.6, 0.8, 0.2 and 0.9 respectively. Now randomly select a visit. What is the probability that the visit lasts more than 2 minutes? If the selected visit last more than 2 minutes, which sites does it most likely come from?
candy industries take random samples from their inventory and sort by flavor. daycare center samples a number of those they take care of and sort by how often they cry during a day visit. If you randomly select a candy from the candy sample and a child in daycare from the daycare sample, what is the probability that you'd pick a grape taffy and a child who cries more than twenty times a day?
Question Let X and Y denote two contios random variables with the joint density function 0
A national sports equipment co-op is going to conduct a survey of its members. It knows from collecting data when members join that 68% of them identify as male. Assuming the total number of members is very large and 200 of them are randomly selected to take the survey, what’s the chance less than 60% of these randomly chosen members identify as male? Show all your work and write your answer as a percentage.
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
Words that are more likely to be contained in a phishing scam are called flagged words. Typically, there is a 94% chance that a phishing scam contains flagged words. There is a 20% chance that regular email contains flagged words. A security company estimates that 4.9% of emails are phishing scams. An email just came through that contains a flagged word. What are the chances that it is a phishing scam? (Enter the probability as a decimal rounded to four decimal places.)
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.