IФЫ В А П Р О ВАПРОПДЗ АПРОЛДЖЫВАПРЯЧСМИТНЧСМИТЬБНСМИТЬБЮ ЯЧСМИ 1DON'T USE AI | DON'T USE AI |DON'T USE AI | DON'T USE AI |DON'T USE AI |SOLVESTEP BY STEP IN DIGITAL FORMATBayes' rule8. Analyze the following information and do what is requested:There is a 75% chance that a blood test will be effective in detecting latent disease, however thetest also gives a false positive result in 3% of healthy patients (i.e. if a person is tested, there is aprobability equal to 0.02 that the test indicates that that person is sick).It determines the probability that an individual, who has been randomly tested, actually suffersfrom the disease, when the test has been positive, and assuming that 0.2% of the populationsuffers from the disease.ЙЦУКЕНГ ШУКЕНГШщКЕНГШЩЗХЬ ЙЧУКЕНГ ШУК

To determine the probability that an individual actually suffers from the disease given a positive…

Answered: 8.Analyze the following information and…

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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People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease.1 The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia.Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.Round your answer to three decimal places.
A diagnostic test for disease X correctly identifies the disease 95% of the time. False positives occur 7%. It is estimated that 5.13% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that, given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
4. If a randomly chosen athlete tests negative, what’s the probability that the student took a banned substance? Explain why it makes sense for the drug-testing process to be designed so that this probability is less than the one you found in Question 3.5. The district decides to immediately retest any athlete who tests positive. Assume that the results of an athlete’s two tests are independent. Find the probability that a student who gets a positive result on both tests actually took a banned substance. Based on your answer, do you think that an athlete who tests positive twice should be suspended from athletic competition for a year? Why or why not?
A new breathalyser is being trialled. When alcohol is present, the breathalyser correctly predicts alcohol in the system 90% of the time, but gives a false positive (indicates alcohol in the system when the individual has not drunk any alcohol) 4% of the time. On 20th December within the adult population 25% of individual have had alcohol. Given the breathalyser is positive what is the probability you have had an alcoholic drink? 0.948 0.980 0.720 0.882 0.957 No answer
Disco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence of polyester is 99% effective in detecting the presence of this disease. The test also yields a false positive in 4% of the cases where the disease is not present. What is the probability that the disease is absent if the test result is negative?
City Parking Systems, Inc., operates a parking garage in a downtown area. During the rush hour, cars arrive at the garage at a rate of 24 every 60 minutes. Three garage attendants can handle this level of arrivals, but not much more. What is the probability of a. 20 arrivals in the next hour and More than 4 arrivals in any 10-minute interval, which would require the help of another garage attendant?
It has been observed that 23% of all new cars sold by a dealership were white. A study was conducted of 100 new cars sold in the past month. What is the probability that fewer than 20 sold were white? 0.0631 0.2047 0.2811 O correct answer is not given
A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…
Assume that among the general population, 13 people out of every 1000 have HIV/AIDS. A pharmaceutical company designs a screening test for HIV/AIDS that has a 99% sensitivity and an 89% specificity. Given that someone has a positive test result, what is the probability they have HIV/AIDS?

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