Bayes' Theorem
Description: Welcome to the Bayes' Theorem Quiz! Test your understanding of conditional probability and Bayes' rule with these challenging questions. | |
Number of Questions: 14 | |
Created by: Aliensbrain Bot | |
Tags: probability bayes' theorem conditional probability |
What is the formula for Bayes' Theorem?
In a medical test, the probability of a person having a disease given that the test result is positive is 0.9. The probability of a person having the disease is 0.05. What is the probability of a person having the disease given that the test result is negative?
A company claims that their new product has a 95% success rate. If 1000 people use the product, how many of them can we expect to be successful?
In a town, 60% of the population are women and 40% are men. If 70% of the women and 30% of the men own a car, what is the probability that a randomly selected person from the town owns a car?
A weather forecaster predicts a 30% chance of rain tomorrow. If it does rain, there is a 70% chance of traffic congestion. If it does not rain, there is a 20% chance of traffic congestion. What is the probability of traffic congestion tomorrow?
A company has two production lines, A and B. Line A produces 60% of the company's output, and Line B produces the remaining 40%. Line A has a 2% defect rate, while Line B has a 4% defect rate. If a randomly selected product is defective, what is the probability that it came from Line A?
A survey found that 70% of people prefer coffee, 20% prefer tea, and 10% prefer both coffee and tea. What is the probability that a randomly selected person prefers only coffee?
A medical test has a 99% sensitivity and a 95% specificity. If the prevalence of a disease in a population is 1%, what is the probability that a randomly selected person who tests positive actually has the disease?
A company has three departments: Sales, Marketing, and Operations. The Sales department has 40 employees, the Marketing department has 30 employees, and the Operations department has 20 employees. If an employee is randomly selected from the company, what is the probability that they work in the Sales department?
A survey found that 60% of people own a car, 30% own a bike, and 10% own both a car and a bike. What is the probability that a randomly selected person owns a car or a bike?
A company has two production lines, A and B. Line A produces 70% of the company's output, and Line B produces the remaining 30%. Line A has a 5% defect rate, while Line B has a 2% defect rate. If a randomly selected product is defective, what is the probability that it came from Line B?
A survey found that 40% of people prefer coffee, 30% prefer tea, and 20% prefer both coffee and tea. What is the probability that a randomly selected person prefers only tea?
A medical test has a 98% sensitivity and a 90% specificity. If the prevalence of a disease in a population is 2%, what is the probability that a randomly selected person who tests positive actually has the disease?
A company has four departments: Sales, Marketing, Operations, and Finance. The Sales department has 50 employees, the Marketing department has 40 employees, the Operations department has 30 employees, and the Finance department has 20 employees. If an employee is randomly selected from the company, what is the probability that they work in the Marketing department?