A disease afflicts 1 person in 1,000 in a population. A test for this disease results in 5% false positives. Assume that a random person is tested for the disease (this person is not selected for the test because there are other symptoms indicating the presence of the disease nor are there any special signs of being disease free). 1. Assume that there are no false negatives from this test. A person tests positive. What is the probability that the person truly has the disease? 2. Now assume that false negatives are 1 person in 100 in a population. What is the probability that the person truly has the disease?

Q: If a student is selected at random from Ms. Avery's homeroom, what is the probability that the…

A:

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: A study showed that 64.5​% of occupants involved in a fatal car crash wore seat belts. Of those in…

A: Solution: Let A be the event that  occupants involved in a fatal car crash wore seat belts. P( A)=…

Q: It is reported that 60% of people are non-smokers. A non-smoker has a 10% chance of infected by the…

A: Given information, P(non-smoker)=60%=0.60 P(smoker)=1-0.60=0.40 P(infected| non-smoker)=0.10…

Q: A certain virus infects 5% of the population . A test used to detect the virus in  a person is…

A: Given that: A certain virus infects 5% of the population. Let “A” be the event infected by the virus…

Q: A study showed that ​69.7% of occupants involved in a fatal car crash wore seat belts. Of those in a…

A:

Q: About 0.5% of adults have nut allergy. The test correctly identifies 94% of the time adults with…

A:

Q: n the toal US population, it is believed that only 12% of adults are lactose intolerant. if 200 US…

A: In this case, each considered US adult has the only options of being "lactose intolerant" (defined…

Q: suppose that a factory produces light bulbs and the percentage of defective lightbulbs is 3.5%. if a…

A: Probability of  defective lightbulbs(p)=0.035sample ssize(n)=550Let "x" be the no. of defective…

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: Supposed that Stephen is the quality control supervisor for a food distribution company.  A shipment…

A: We have given that  Success of probability p =13%=0.13 Number of trials n=10 X~binomial ( n ,p)

Q: The probability that an adult possesses a credit card is .65. A researcher selects two adults at…

A: P(posseses credit card ) = p = 0.65 So q  =1-p = 0.35 Select two at random

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: Some cyclists ride their bicycles on the wrong side of the road, the opposite direction of car…

A: It was stated that some cyclists ride their bicycles on the wrong side of the road, the opposite…

Q: To diagnose colorectal cancer, the hemoccult test is conducted to detect occult blood in the stool.…

A: 1.Prevalence : It is the proportion of a population found to be affected by disease. Here,…

Q: If Digger's test indicates that there is no oil in the field, what is the probability that the field…

A: Question 4: Let A is defined as the field has oil, and B is defined as the digger test will indicate…

Q: To diagnose colorectal cancer, the hemoccult test is conducted to detect occult blood in the stool.…

A: Given Information :  To diagnose colorectal cancer, the hemoccult test is conducted to detect occult…

Q: The probability of finding a gold card is 0.03. What is the probability that 1 out of 10 randomly…

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Q: Suppose that asthma affects 1 in 20 children in a population. We decide to redo the survey and now…

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Q: Suppose that asthma affects 1 in 20 children in a population. You take an SRS of 50 children from…

A: It is given that asthma effects 1 in 20 children in a population. Let the random variable X denotes…

Q: 20% of all people are O negative. If 12 people donate blood at the blood drive 1. The probability…

A:

Q: A screening test for a disease shows a positive result in 94% of all cases when the disease is…

A: Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, denoted…

Q: Note that 5% of the population suffers from a particular disease. There is a diagnostic test to…

A: The question is about Baye's theorem Given : Prob. of population suffers from disease = 0.05 Prob.…

Q: 1% of those aged 15-49 are infected with HIV. in blood test for HIV 36 blood samples from 36 people…

A: The p.m.f of the binomial distribution is as follows:

Q: The monthly incidence of necrotizing fasciitis in the U.S. is 50 cases. The population of the U.S.…

A: Solution: It is given that the monthly incidence of necrotizing fasciitis in the U.S. is 50 cases.…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.