Required informationA quality-control program at a plastic bottle production line involves inspecting finished bottles for flaws such asmicroscopic holes. The proportion of bottles that actually have such a flaw is only 0.0002. If a bottle has a flaw, theprobability is 0.992 that it will fail the inspection. If a bottle does not have a flaw, the probability is 0.980 that it will passthe inspection.If a bottle passes inspection, what is the probability that it does not have a flaw? (Round the final answer to four decimal places.)Numeric Response

Given the data in the question, theproportion of bottles that actually have such a flaw is only…

Answered: A quality-control program at a plastic…

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 health journal found that 56.3% of college students who lived in coed dormitories consumed alcohol weekly (compared with 26.5% who lived in single-sex dormitories). A random samp of 175 students who live in coed dormitories was selected. Complete parts a through d below. a. What is the probability that more than 50% of the students in the sample consume alcohol weekly? The probability is. (Round to four decimal places as needed.) b. What is the probability that less than 65% of the students in the sample consume alcohol weekly? The probability is. (Round to four decimal places as needed.) c. What impact would changing the sample size to 100 have on the results in part a? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value of the probability decreases. The new value of the probability is (Round to four decimal places as needed.) O B. The value of the probability increases. The new value of the probability is (Round to four…
What is the expected value for the number of defective LCDs3 10 2) 0.1 3) 0.45 4) 0.5 5) 0.9 06) 1
In a clinical trial, 3% of the patients in the study experienced fatigue as a side effect. Suppose that a random sample of 20 users of the new medicine were selected, find the probability that a. Exactly 2 will experience fatigue as a side effect. b. At most 2 will experience fatigue as a side effect.
The quality control manager of Green Bulbs Inc. is inspecting a batch of energy saving compact fluorescent light bulbs. When the production process is in control, the Mean number of bad bulbs per shift is 6.0. What is the probability that any particular shift being inspected has produced fewer than 5 bad bulbs.
Please answer within 30min thanks.
A certain disease has an incidence rate of 0.1%. If the false negative rate is 7% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
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 psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
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.)
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.

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