Question

In: Statistics and Probability

A certain genetic mutation occurs in 5% of the population of Whoville. The mutation causes otherwise...

A certain genetic mutation occurs in 5% of the population of Whoville. The mutation causes otherwise normal adult Whos to grow green tail feathers during full moons. A test for this mutation has a sensitivity of 95% and a specificity of 98%. This means that the probability that a Who with the mutation tests positive is 95%, and the probability that a Who without the mutation tests positive is 100%-98%=2%.

If a random adult Who is tested for the mutation, then the probability of a positive result is

Group of answer choices

13.56%

6.65%

5%

95%

If a randomly selected Who tests positive for the mutation, then the probability that this Who actually has the mutation is

Group of answer choices

70.8%

5%

71.43%

95%

Expert Solution

Let

M=event that a randomly selected Who has the genetic mutation
NM=event that a randomly selected Who does not have the genetic mutation
T+=event that any given test is postive
T-=event that any given test is negative

A certain genetic mutation occurs in 5% of the population of Whoville. This is same as the probability that a randomly selected Who has the mutation is 0.05

P(M)=0.05

the probability that a randomly selected Who does not have the mutation is

P(NM) = 1- P(M) =1-0.05 = 0.95

The mutation causes otherwise normal adult Whos to grow green tail feathers during full moons. A test for this mutation has a sensitivity of 95% and a specificity of 98%.

This means that the probability that a Who with the mutation tests positive is 95%,

and the probability that a Who without the mutation tests positive is 100%-98%=2%.

If a random adult Who is tested for the mutation, then the probability of a positive result is

If a random adult Who is tested for the mutation, then the probability of a positive result is 0.0665

ans: 6.65%

If a randomly selected Who tests positive for the mutation, then the probability that this Who actually has the mutation is

If a randomly selected Who tests positive for the mutation, then the probability that this Who actually has the mutation is 0.7143

ans: 71.43%

orchestra answered 1 year ago

About 5% of the population has a particular genetic mutation. 300 people are randomly selected. Find...

About 5% of the population has a particular genetic mutation. 300 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 300. Incorrect

A mutation occurs in a bacterium. Because of this mutation, DNA synthesis occurs at a very...

A mutation occurs in a bacterium. Because of this mutation, DNA synthesis occurs at a very low rate. Upon analysis, it is found to have normal levels of activity of DNA polymerase I and III, DNA gyrase, and ligase. It also makes normal amounts of the wildtype dnaA, dnaB, dnaC, and SSB proteins. The sequence of the OriC (the origin of replication) of its chromosome is found to be normal (wildtype). What defect might account for the abnormally low rate...

Imagine a genetic mutation that causes troponin to bind to calcium much more strongly than usual,...

Imagine a genetic mutation that causes troponin to bind to calcium much more strongly than usual, i.e., once the troponin binds to calcium, it is very slow to release the calcium again. What effects would this have an effect on muscle contraction? (That is, would contractions be stronger/weaker than normal? Would they last longer than normal, or not as long?) Explain your reasoning. PLEASE ANSWER NOW!!!!!!!NEED NOW!!!!THANK YOU

Describe the four basic causes of evolution: natural selection, mutation, genetic drift, and gene flow. (please...

Describe the four basic causes of evolution: natural selection, mutation, genetic drift, and gene flow. (please 400-500 response)

QUESTION PART A: About 1% of the population has a particular genetic mutation. 900 people are...

QUESTION PART A: About 1% of the population has a particular genetic mutation. 900 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 900. QUESTION PART B: About 4% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400. Round your answer to three decimal places

9. If the following mutation occurs in COVID19 RNA 5’ GGGUACAUGGUAGCCCCCGUCGAGAAAACACCC…. 3’ to 5’ GGGUACAUGGUAGCCCCCGUCGCCCCGUAGAAAACACCC…. 3’,...

9. If the following mutation occurs in COVID19 RNA 5’ GGGUACAUGGUAGCCCCCGUCGAGAAAACACCC…. 3’ to 5’ GGGUACAUGGUAGCCCCCGUCGCCCCGUAGAAAACACCC…. 3’, what most likely would be the outcome of such a change in its sequence: A frameshift mutation effect A silent mutation effect No effect resulted from the mutation A nonsense mutation effect A missense mutation effect 10.To conduct molecular analyses of COVID19 RNA sequence, which of the following biotechnology should be used to amplify samples of RNA: RNA Recombinant Plasmid Duplication RNA Fingerprinting Replication...

1. About 1% of the population has a particular genetic mutation. 200 people are randomly selected....

1. About 1% of the population has a particular genetic mutation. 200 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 200. 2. A drug test is accurate 97% of the time. If the test is given to 1600 people who have not taken drugs, what is the probability that at least 50 will test positive? Probability = Give your answers to at least 3 decimal places. 3....

If genetic drift causes a population to become less diverse, how does it affect the degree...

If genetic drift causes a population to become less diverse, how does it affect the degree of similarity between populations? Can this be thought of as a source of diversity? (will up vote and comment if correct)

A mutation positioned in a nonsplicing region causes the spliceosome to recognize this mutation as being...

A mutation positioned in a nonsplicing region causes the spliceosome to recognize this mutation as being part of a consensus sequence, thereby splicing in that location. This occurred because the mutation: a. eliminated the splicing consensus sequence, causing the spliceosome to splice elsewhere b. changed the snRNA sequence, causing it to hybridize to an altered sequence on the transcript c. altered the consensus sequence in the promoter & changed the rate of transcription initiation d. created an ideal or close...

Explain the causes of Mutation. Specifically write about factors that cause Mutation