Suppose that, in an urban population, 50% of people have no exposure to a certain disease,...

Suppose that, in an urban population, 50% of people have no exposure to a certain disease, 40% are asymptomatic carriers, and 10% have the disease with symptoms. In a sample of 20 people, we are interested in the probability that the sample contains a number of asymptomatic carriers that is exactly thrice the number that have the disease with symptoms. While the final numerical answer is important, the setup of the solution is moreso.

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orchestra answered 1 year ago

In a population, 28 % of people have a disease called D, a certain kind of...

In a population, 28 % of people have a disease called D, a certain kind of skin problem, among them 42 % will develop into skin cancer. For people without this skin problem (D), only 8 % will have skin cancer. a) What is the rate of skin cancer in this population b) If a person found out that he has skin cancer, what is the chance that he had skin problem (D)?

Suppose that a test for a certain disease has a specificity of 95%. If 2,000 people...

Suppose that a test for a certain disease has a specificity of 95%. If 2,000 people without the disease take the test, how many should you expect to test negative? 100 1,000 1,500 1,900

The proportion of people in a given community who have a certain disease is 0.01. A...

The proportion of people in a given community who have a certain disease is 0.01. A test is available to diagnose the disease. If a person has the disease, the probability that the test will produce a positive signal is 0.95. If a person does not have the disease, the probability that the test will produce a positive signal is 0.02. a.Given that the test is positive, what is the probability that the person has the disease? b.Given that the...

Suppose height and weight of people in a certain population are jointly normal with the mean...

Suppose height and weight of people in a certain population are jointly normal with the mean height of 180cm and mean weigh of 80kg. The corresponding standard deviations are 5cm and 6kg, respectively, and the correlation is equal to 0.6. a) What is the percentage of people whose weight exceeds 95kg among those 185cm tall? b) What is the percentage of people whose weight exceeds 95kg among those whose height is 175cm?

In a population of 100 individuals, we have 25 people that are homozygous AA, 50 people...

In a population of 100 individuals, we have 25 people that are homozygous AA, 50 people that are heterozygous Aa, and 25 people that are homozygous aa. How many A alleles are in the homozygous aa group?

With a town of 20 people, 2 have a certain disease that spreads as follows: Contacts...

With a town of 20 people, 2 have a certain disease that spreads as follows: Contacts between two members of the town occurred in accordance with a Poisson process having rate ?. When contact occurs, it is equally likely to involve any of the possible pairs of people in the town. If a diseased and non-diseased person interect, then, with probability p the non-diseased person becomes diseased. Once infected, a person remains infected throughout. Let ?(?) denote the number of...

100 people are tested for disease. 30 people have the disease and 70 do not. There...

100 people are tested for disease. 30 people have the disease and 70 do not. There were 20 true positives and 37 true negatives. Part 1: What was the sensitivity of the test? Be sure to give context. Part 2: What was the specificity of the test? Be sure to give context. Part 3: What was the positive predictive value of the test? Be sure to give context. Part 4: What was the accuracy of the test? Be sure to...

The percentage of people in a population that get sick with a particular disease is called?...

The percentage of people in a population that get sick with a particular disease is called? Cases of an infectious disease affect a large population, beyond the localized area where it first appeared is called? Random mutations in a microbe lead to small alterations in the protein sequence of a pilus is called? A disease occurs naturally in a particular geographic location is called? A pathogen that can be used for bioterrorism is called? The disease that results when an...

There is 128 people with no disease and 397 with disease. Out of people with disease,...

There is 128 people with no disease and 397 with disease. Out of people with disease, 256 tested positive. Out of people with no disease, 1 tested positive. Suppose general disease probability is 0.1. What's the probability that a randomly picked person infected with the disease tests negative? (use Bayes theorem)

Disease A is autosomal dominant. A total of 4% of the study population of 100 people...

Disease A is autosomal dominant. A total of 4% of the study population of 100 people are affected. How many carriers are in the study population? Disease A is autosomal recessive. A total of 16% of the study population of 100 people are affected. How many carriers are in the study population? TIA!

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