A lie detector test has a probability of 0.95 for giving a positive result when tested upon a person who is A positive result implies the person is lying. The detector has a probability of 0.10 of giving a positive re tested upon a person telling the truth. It is estimated that 25% of the population is dishonest. What is t probability that a random person is dishonest if the test is positive. O 0.76

Q: Your financial planning company has a large database of clients. There is a 0.22 probability a…

A: Given, The probability that a client has a Roth IRA = 0.22 The probability that a client has a 401K…

Q: 400 baseball fans in Boston are asked whether they hate the Yankees. 320 of them answered "yes". The…

A: 400 baseball fans in Boston are asked whether they hate the Yankees. 320 of them answered…

Q: A recent survey examined the use of social media platforms. Suppose the survey found that there is a…

A: The information provided in the question are as follows :-Probability that a randomly selected…

Q: 10.6% of the population is 65 or older. Find the probability that the following number of persons…

A:

Q: According to a 2020 article, 69% of men do not wash their hands after using a public restroom.…

A: Ffgg

Q: A recent study indicated that 67% of U.S. adults consider air conditioning a necessity. If a random…

A:

Q: According to weather records from Vancouver International Airport (since 1981), there is some…

A: It is given that there is some precipitation on all days in Vancouver is 0.4625. The randomly…

Q: The probability that a lab specimen contains high levels of contamination is 0.10. Five samples are…

A: We have given that probability (p)  = 0.10number of samples (n) = 5 Here we will use binomial…

Q: A police officer uses a breathalyzer to test the blood alcohol content of drivers suspected of a…

A: We have the null and alternative hypothesis as follows H0 : The driver is not drunk.   Ha : The…

Q: You are certain to get a red card when selk inclusive.

A: Given: Number of cards selected = 27 A pack of cards has a 52 cards out of which 26 are red and 26…

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: Total Cards in deck = 52 Number of club in the deck = 13 Number of spade in the deck= 13 Probability…

Q: At a drug rehab center 40% experience depression and 29% experience weight gain. 11% experience…

A: From the provided information, P(Depression) = 0.40 P(Weight gain) = 0.29 P(Depression & Weight…

Q: The following contingency table records some information about a sample of visitors to Old Fort…

A: There are two categorical variables which are origin and group. We have to find the expected value…

Q: e. Are depression and weight gain independent?   yes  no

A: At a drug rehab center 37% experience depression and 30% experience weight gain.  Let the event of…

Q: Below is a partially completed probability model where X represents the number of cars in a fast…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Your financial planning company has a large database of clients. There is a 0.405 probability that a…

A: P(401k) = 0.405 P(Roth IRA) = 0.188 P(401k OR Roth IRA) = 0.513

Q: Suppose the American Kennel Club estimates that 38% of households in U.S. have a Pembroke Welsh…

A: Given data: Given proportion: p = 0.38 Sample size = 400

Q: According to one poll, 54% of households in a certain region had no landline and only had cell phone…

A: given data,p= percentage of households in a certain region had no landline and only cell phone…

Q: According to a 2020 article, 69% of men do not wash their hands after using a public restroom.…

A: This is a case of binomial probability. The formula for binomial probability is shown as follows: ,…

Q: If a hypothesis test is found to have power = 0.80, which is the probability that the test will…

A: Given that, hypothesis test is found to have power = 0.80

Q: A recent study showed that 0.5% of women over 50 have breast cancer. 90% of women who have breast…

A: Assume, C be the event which happens when a woman has cancer. N be the event which happens when a…

Q: The proportion of individuals that regularly smoke in a population is known to be 0.25. What is the…

A: Given information: p=0.25 Sample size, n=100

Q: 2. A new diagnostic test is developed for detecting hypertension. Suppose that 22% of a certain…

A: Given information: The probability that a certain population has hypertension (H) is, P(H) = 0.22…

Q: 1. The Journal of the National Cancer Institute published the following results from a study they…

A: Introduction: The probability of an event, A is defined as the ratio of the number of cases…

Q: ssume that 33.2​% of people have sleepwalked. Assume that in a random sample of 1454 ​adults, 523…

A: Given: The population proportion of people who sleepwalked, P = 0.332            Sample size, n =…

Q: Suppose you are interested in testing Hoμ 12 vs. Ha: # 12. Suppose o is 6, n is 100, and is 11.5.…

A: From the given data we have to find p valueData is shown belowH0:μ=12Ha:μ≠12σ=6n=100We have to use…

Q: 11.6% of the population is 65 or older. Find the probability that the following number of persons…

A: Given,n=50p=0.116q=1-0.116=0.884X~Binomial(n=50 , p=0.116)P(X=x)=50x0.116x0.88450-x      ;…

Q: Assume that 29.8% of people have sleepwalked. Assume that in a random sample of 1492 ​adults, 487…

A:

Q: A tax specialist has estimated the probability that a tax return selected at random will be audited…

A: Given that P(audited)=0.06P(additional assessments | audited)=0.50