Find the probability that a person has the virus given that his test outcome is positive. Find the probability that a person does not have the virus given that his test outcome is negative. Find the probability that a person has the virus given that his test outcome is negative.

Q: A test for a certain disease has a probability of 0.92 of detecting the disease when it is present…

A: We have given that P( disease) = 0.70P( no disease) = 0.30P( positive | disease) = 0.92P( positive |…

Q: The probability of flu symptoms for a person not receiving any treatment is 0.051. In a clinical…

A: Given : p=0.051 n=1200 X~Binomial(n=1200,p=0.051) We want to find, P(X≥66)=?

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

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Q: X disease is seen at a rate of 5% in the society. That is, 5% patients (H) are 95% healthy (S).…

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Q: diagnostic test for disease X correctly identifies the disease 97% of the time. False positives…

A: event A: suffer from dieseaseB: test positiveP(B|A) = 0.97P(B|A') = 0.07P(A) = 0.0423P(A')  = 1 -…

Q: The probability that a person with certain symptoms has hepatitis is 0.7. The blood test used to…

A: Given that P  ( H ) = 0.7, P (+ve/H ) = 0.95 , P ( + ve / H' ) = 0.05 Find P( H/+ve ) = ?

Q: Data show that 3% of apples produced from an apple orchard are bruised when they reach local stores.…

A: Given, 3% of apples produced from an apple orchard are bruised when they reach local stores. The…

Q: Enterococci are bacteria that cause blood infections in hospitalized patients. One antibiotic used…

A: given data  P(have resistance to vancomycin) = 0.03resistance to vancomycin means not succesfully…

Q: The American Red Cross says that 11% of the US population has type B blood. A sample of 20 people…

A: Given that the American Red Cross says that 11% of the US population has type B blood. Probability,…

Q: Over 100 people try to climb mt everest every year. Of those who try to climb everest, 31 percent…

A: The probability that a climber is at least 60 years old is 0.04 The probability that a climber is at…

Q: A statistician has analysed the duration of audience laughter after a stand up comedian's jokes. The…

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Q: We want to determine the probability that the fifth patient who recovers is the seventh person to…

A: A certain drug is known to be effective in treating a specific disease with a success rate of…

Q: Phenylketonuria is inborn disease with the prevalence 0.4 per 1000 newborns. The parameters of…

A: Sensitivity of a screening test can be define as the percentage of cases in which the test result is…

Q: Suppose that the current positivity rate for a certain disease in a population is 2%. We decide to…

A: Given that, p= 0.02 So q= 1-p= 1-0.02= 0.98 And sample size, n= 12 So X~binomial(12,0.02)

Q: A certain disease has an incident rate of .1%. If the negative rate is 5% and the flase positive…

A: Given: An incident rate of 0.1% negative rate is 5% positive rate is 4%  compute the probability…

Q: There is a .65 probability of someone passing the certification exam for public health…

A: Given Information: There is a 0.65 probability of someone passing the certification exam for public…

Q: Environmentalists have accused a large company in the eastern United States of dumping nuclear waste…

A: The objective of this question is to find the probability that both the fish and the animals that…

Q: You have recently invested in an electric skateboard. You always wear a helmet and padding to…

A: since n=1000 is large and p=0.005 is small, we can approximate this with Poisson distribution…

Q: . To see if this result is surprising, the class conducts a simulation to estimate the probability…

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Q: Many diagnostic tests for detecting diseases do not test for the disease directly but for a chemical…

A: Given that, Many diagnostic tests for detecting diseases do not test for the disease directly but…

Q: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a…

A: Let X be a random variable following exponential distribution with parameter λ. The expected value…

Q: The probability that a patient recovers from a certain type of operation is 0.78. What is the…

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Q: A recent survey showed that 17% of households spend more than $100 per week on groceries. Assume the…

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Q: The data mentioned in the question can be expressed as PB=0.25, PW=0.25, PS=0.50, PGB=0.40,…

A: Given, The data mentioned in the question can be expressed  as P(B)=0.25, P(W)=0.25, P(S)=0.50,…

Q: The normal rate of infection of a certain disease with the children is found to be 20%. In an…

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Q: An automobile manufacturer advertises its newest vehicle's miles per gallon at u = 41 on the…

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Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

A: Let Event X denote the incorrect fill. and Event Y denote the high speed process   P (X/Y) = 0.001 P…

Q: Assume that the incidence of the HIV virus in a particuar population is 4% and that the test…

A: Let us denote  A= actually has the virus T=tested positive Given that P(A)=4%=0.04 P(T|A)=90%=0.90…

Q: When a defective coin is tossed, there is a 55% chance that tails will show up. Find: (a) the…

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Q: If the probability of a bad reaction from a certain injection is 0.001, determine the  chance that…

A: Given: Probability of a bad reaction is, p= 0.001 Sample size, n=3000

Q: Enterococci are bacteria that cause blood infections in hospitalized patients. One antibiotic used…

A: Given  n=sample size=18, q be the probability of successful treatment q=3%

Q: A test for a certain disease has a probability of 0.92 of detecting the disease when it is present…

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Q: An instrument for testing contaminated particles experiences errors 4 times on average during a…

A: Given Data: Let X represent the number of errors during 4-hour session X~ Poi(4)   Let Y represent…

Q: Oliver knows that a virus is relatively virulent and estimates that 15% of the population has the…

A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: he probability that a person reacts to a newly manufactured vaccine against the current pandemic is…

A: Given that  The probability that a person reacts to a newly manufactured vaccine against the current…

Q: probability of delivering 0 baby each night can be calculated using the Poisson distribution

A: here given , The average number of deliveries per night is 1000/365, which is 2.74 so λ = 2.74…

Q: ght bulbs are tested for their life-span. It is found that 16% of the light bulbs are rejected. A…

A: From the given information, Consider, X be the random variable that denotes the number of bulbs that…