Suppose that 2% of all people have brain clouds, and there is a test with the property that92% of people with brain clouds react positively and 6% of people without brain clouds reactpositively. If we know that Joe reacted positively to the test, what is the probability that Joehas brain clouds?swered

Answered: Image /qna-images/answer/a9fa2daa-67a4-4e6d-86a7-a045ad72a5e4.jpg

Answered: Suppose that 2% of all people have…

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...

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3. Nine percent of men and 0.25% of women cannot distinguish between the colors red and green.This is the type of color blindness that causes problems with traffic signals. If six men arerandomly selected for a study of traffic signal perceptions, find the probability that exactly twoof them cannot distinguish between red and green
An article was published recently suggesting that persons who exercise regularly can reduce their risk of major clinical events (e.g. diabetes, cardiovascular disease) by up to 50% in some instances. It is believed that only 30% of adult Americans exercise on a regular basis. If eight adult Americans are analyzed, what is the probability that less than half of them exercise regularly? For some reason, I keep coming out with the wrong numbers.
Alex Insurance Company historically shows that 10% of their insured received at least one traffic ticket last year. This year, considering no changes, a sample of 200 drivers was chosen. What is the probability that less than 34 policyholders will receive at least one traffic ticket this year?
Suppose that it is known that 45% of eighteen-year-olds in a particular city do not have a driver's licence. If a random sample of 20 eighteen-year-olds is taken in the city, what is the probability that more than half of them will not have a driver's licence?
Suppose a certain study conducted in 2000 reported 71.3% of men between the ages of45 and 54 are considered overweight. If a random sample of 150 men in this age groupis selected, what is the probability that between 66% and 75% of them are overweight?
In 2014, 78.9% of US households spoke only English at home. What is the probability that atleast 12 of 15 randomly sampled US households speak only English at home
A study indicates that 48% of births at a particular hospital have are by caesearian section. You randomly sample 8 births at a particular hospital. Find the probability that less than 3 are by caesearian section.
A factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces Q23 Given that the selected piece is non-defective, what is the probability that the machine is set up correctly? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer:
In a genetics experiment on peas, one sample of offspring contained 396 green peas and 296 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 34 that was expected?
An accounting firm has found that 8 out of 12 companies audited contain minor errors in their books. What is the probability that rd the 3 company audited contained the 1 minor error found.

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