Hintver< Question 15 of 16Attempt 9Suppose a county's recent health report gives a pet allergy prevalence of0.23 for kids. There is a new at-home test kit for pet allergies on the marketPet allergyTest resultstatusthat provides families with a convenient way to test if children have a petPositiveallergy. The probability that the test gives a positive result when a child0.83really does not have a pet allergy is 0.07. The probability that the test givesPetallergya negative result when a child really does have a pet allergy is 0.17. The treediagram shows the possible outcomes with the associated probabilities.0.230.17NegativeWhat is the probability of an incorrect test result? Give your answer as adecimal precise to two decimal places.Positive0.070.77No petallergy0.93NegativeP(incorrect test result) =5:44 PM91°Fa の9/24/2021DELLEndDeletePrtScrInsertHomeF10F11F12F8F9F3F4F5F6F7

Introduction: The test result can be incorrect in two ways: either it is incorrect and the child has…

Answered: Suppose a county's recent health report…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?
A study showed that in 1990, 47% of all those involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat belts, 46% were injured and 26% were killed. For those not wearing seat belts, the comparable figures were 43% and 51%, respectively. Find the probability that a randomly selected person who was unharmed in a fatal crash was not wearing a seat belt.
According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with autism by the age of 8 is 2.7%. If 150 boys under the age of 8 are randomly selected, find the probability that the average of them being diagnosed with autism is between 2.4% and 3.0%.
A recent survey found that 60% of all adults wear sunglasses for driving. In a random sample of 10 adults, what is the probability that at least seven wear sunglasses?
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.)
A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.
An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?
A recent study reported that the prevalence of hyperlipidemia is 30% in children. If 12 children were apart of this study, what is the probability that three are hyperlipidemia?
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%?
The weather report says that there is a 50% chance to rain tomorrow. What type of event is this?

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