Samples of rejuvenated mitochondria are mutated (defective) in 36% of cases. Suppose that samples tested can be considered to be independent for mutation. What is the probability that more than three samples need to be tested to detect two that are mutated?

Samples of rejuvenated mitochondria are mutated (defective) in 36% of cases. Suppose that samples tested can be considered to be independent for mutation. What is the probability that more than three samples need to be tested to detect two that are mutated?

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...

See similar textbooks

Related questions

Q: Is this study an experiment or an observational study? b) Set up hypotheses to test whether there…

A: This study is an experiment. Because here the researcher intervenes in the study by randomly…

Q: Only 1 in 5000 adults is afflicted with a rare disease for which a diagnostic test has been…

A: Given that the probability of afflicted with a rare disease is = 1/5000 So the probability of not…

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: To find the probability that a child will develop the disease, we can consider the possible…

Q: What is the probability that at most 4 out of 5 selected offspring will have two recessive genes

A: here p=0.25 n=5 here use binomial distribution each trial independent finite number of trial there…

Q: In the search for a cure for the Coronavirus, it is important to determine what proportion of the…

A: It is given that Sample size n = 1200 Number of Americans have antibodies, X = 750 Level of…

Q: As reported in 2010, Hawaii is the state with the highest rate of tuberculosis (TB), at 8.8 cases…

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

Q: Suppose that allele D produces big ears in terriers and allele d produces normal ears. Big ears is…

A: Given Big ears is an autosomal dominant trait expressed with 60%

Q: In 2009, the CDC estimated that 1,100,000 of the 305,000,000 residents of the United States are…

A: Given: The total number of residents of the United states is N=305,000,000. The number of residents…

Q: pose a 15 minute rapid antigen test for the SARS-CoV-2 virus is 80.2% effective in detecting the…

A: Define the following events. A: a randomly selected person in Queens, New York has the virus. B: a…

Q: Suppose that 5 percent of the population of a certain town contracted the COVID19 virus. There is a…

A: Consider that A and B are two events, with corresponding probabilities P (A) and P (B). Denote (A ∩…

Q: *Take home exercise 1 (Example 7 in 3.4-3.6 lecture slides) As in many as one sickle cell anemia.…

A: The conditions for binomial distribution:Fixed number of trials.The trials are independent.There are…

Q: Assume that a student's alarm clock has a 7.3% daily failure rate. What is the probability that…

A: Hey there! Thanks for posting the question. Since there are more than three sub-parts in your…

Q: Only 0.1 % of individuals in a certain population have a particular disease ( an incidence rate of…

Q: The National Academy of Science reported that 37% of research in mathematics is published by US…

Q: A randomized clinical trial is designed to study the efficacy of medication “X” to treat attention…

A: Given information: It was stated that a randomized clinical trial is designed to study the efficacy…

Q: test to determine whether a certain antibody is present is 99.8% effective. This means that the…

A: Given that test to determine whether a certain antibody is present is 99.8% effective

Q: Eight percent of the population is infected with Herpes simplex-2 virus (HSV2). If you select four…

A: It is given that 8 % of the population is infected with Herpes simplex-2 virus (HSV2). Let p =…

Q: What is the probability that a child will develop the disease?

A: Given data :Let's consider the possible genotypes of the child, based on the sex chromosomes…

Q: Determine whether the results appear to have statistical significance, and also determine whether…

A: Answer Given Total =2097

Q: Briggs and King developed the technique of nuclear transplantation in which the nucleus of a cell…

A: We have to find given probability.

Q: A certain birth defect occurs in one in every 1000 live births, according to long-term data. The…

A: Given, n = 20000 p = 11000 = 0.001 This is the case of binomial distribution: The probability…

Q: A disease afflicts 1 person in 1,000 in a population. A test for this disease results in 5% false…

A: 1) Given information

Q: FASTPlaqueTB is a diagnostic test for the presence of tuberculosis bacilli. In a community, for…

A: Let Events, A : Event that the people in the community have the tuberculosis bacilli. Ac : Event…

Q: Find the approximate probability that fewer than 1,928 patients in a sample of 200,000 will…

A: From provided information, for LASIK surgery complications according to studies, 1% of all patients…

Q: A study was performed to assess the feasibility of a national random digit dialing cellular phone…

A: Given data A study was performed to asses the feasibility of a national random digit dialing…

Q: The manufacturer of 'Imaginaricil', a drug for lowering blood pressure, claims that the drug is…

A: Solution: Let X be the random variable that the drug is successful in lowering blood pressure. The…

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome and the mutation…

Q: Some people claim that they can tell the difference between a diet soda and a regular soda in the…

A: The null hypothesis is H0: p = 0.5, and the alternative hypothesis is p>0.5 Compute the value of…

Q: Only 1 in 1000 adults is afflicted with a rare disease for which a diagnostic test has been…

Q: Researchers selected 894 patients at random among those who take a certain widely-used prescription…

A: Reseachers selected 894 patients at random among those who take a certain widely used prescription…

Q: According to U.A government statistics, mononucleosis (mono) is four times more common among college…

A: From the table, we see 67 students have mono. Of those 67 students, 35 students have a negative…

Q: neurosurgeon believes that lesions in a particular area of the brain, called the thalamus, will…

A: n1=8 n2 =7 df1= 8 - 1=7 df2= 7-1=6 We have to answer for mentioned questions.

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome and the mutation…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Samples of rejuvenated mitochondria are
mutated (defective) in 36% of cases.
Suppose that samples tested can be
considered to be independent for mutation.
What is the probability that more than three
samples need to be tested to detect two that
are mutated?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

The National Academy of Science reported that 41% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…
A group of students is asked a question one at a time. Whether or not the students are able to answer the question correctly are independent Bernoulli trials with a 60% probability of the student questioned answering correctly. The expected number of students that needs to be questioned before getting three students who correctly answer the question is
I have an hour, I will be glad if you help a)A statistician has analysed the duration of audience laughter after a stand up comedian's jokes. The data showed that the laughter duration was evenly distributed between 2.7 seconds and 12 seconds. Then, the probability that the laughter after one of this comedian's jokes lasts for more than 7 seconds is ....... b)Suppose that unknown to a geneticist, there are 5 out of 12 genes that play a significant role in developing skin cancer. If the geneticist randomly samples 5 of these 12 genes and studies them, the probability that he will have sampled more than 4 skin cancer related genes is ......... Note: Provide your answer in three decimal points e.g. 0.001
A rare disease exists with which only 1 in 500 is affected. A test for the diseaseexists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, whatis the probability that the individual has the disease?
Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During reproduction this mutation arises spontaneously on each of the X chromosomes of the parents, independently and with probability μ = 0.805. We can therefore view the production of a child as consisting of two probabilistic experiments. First, one of the two sex chromosomes is chosen with equal probability from each parent. Second, for each X chromosome that is chosen, the muscular dystrophy mutation arises independently with probability μ. All male children carrying the mutation will develop muscular dystrophy, whereas only females whose X chromosomes both carry the mutation will develop the disease. What is the probability that a child will develop the disease? Round your answer to five decimal places.
It is known that 98% of mice inoculated with a serum are protected from a certain disease. Suppose a shipment of 100 mice arrived in a laboratory. If these mice were supposed to have been inoculated, what is the expected number of mice that will contract the disease? Suppose that 35 of these mice contracted the disease, approximate the chance of this happening if it is true that the mice have already been inoculated. Assume independence.
Suppose 10% of a city’s inhabitants have contracted Covid-19 but are asymptomatic (do not show any symptoms). A PCR test for detecting Covid will return a positive result for 90% of the people with asymptomatic Covid and is negative for 90% of people who are not infected. What is the probability that a person for whom the test result is negative, actually has indeed contracted Covid-19?
A certain cancer screening is able to detect existing cancer with a probability of 97%. A new method is developed, and in a study it is able to detect cancer in 1952 of 2000 cases. Test with significance : Can the claim be made that the new method is better?