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: question (a) Draw an event tree and show on the event tree all the probabilities in branch points.…

Q: Which is the best approximation of the fixation probability of the mutant B allele, present as one…

Q: Suppose that after 10 years of service, 40% of computers have problems with motherboards (MB), 30%…

A: Number of computers have problems with motherboards (MB) = 40% Number of computers have problems…

Q: In a study of 415765 cell phone users, it was found that 44 developed cancer of the brain or…

A: It is given thatCell phone users are n=415765Probability of a person developing cancer is…

Q: Let X represent the number of voters polled who prefer Candidate A. Use some form of appropriate…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , PLZ REPOST FOR REMAING QUESTION…

Q: The probability that a randomly selected engineering student aged 22-25 years old will survive or…

A: Binomial Distribution: If we have n trials, each having two outcomes, say success and failure,…

Q: An article in the newspaper claims that 60% of registered drivers have the organ donor designation…

A: This question is based on hypothesis testing. Specifically, this question was asked to verify the…

Q: rst, one of the two sex chromosomes is chosen with equal probak ch X chromosome that is chosen, the…

A: Let's analyze the probabilities of a child being affected by muscular dystrophy based on their sex…

Q: The American Pharmaceutical company has developed a new pain killer drug that can help prolong the…

A: Null and alternate hypotheses: The investigator is specifically interested to test whether the new…

Q: Jade, a 20-year-old female, has a brother that died as the result of a neonatal lethal recessive…

A: Given that the incidence rate of a neonatal lethal recessive disorder is 140000 in the general…

Q: Assume a cardiovascular surgeon has implanted 17 pacemakers in his patients from a new batch of…

A: Let X be a random variable such that X: Number of pace makers that will work

Q: In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month. If…

A: Given that, one out of every 500 people of Dhaka city were affected during this month. That is,…

Q: A study was conducted to determine whether there were significant differences between medical…

A: Given that n =9 ,p = 0.903 Using binomial distribution

Q: In a study of 268,316 cell phone users, it was found that 107 developed cancer of the brain or…

Q: A certain respiratory illness affects 0.1% of the population. An accurate test has been developed to…

A: Given P(Positive |no diseases)=0.04 P(diseases) =0.01 P(Negative | diseases)=0.03

Q: The research team of a sophisticated and well-known hospital in the country is studying the…

A: Let us assume a population of 100 patients to solve this problem. Let us denote R: Having R element…

Q: Samples of rejuvenated mitochondria are mutated (defective) with a probability 0.17. Find the…

A: Probability of mutated mitochondria = 0.17It means that if we take a sample of mitochondria there is…

Q: A sample of 75 corporations buying back franchises was examined. Of these cases, returns on common…

A: Given that: Sample size, n=75 Number of positive returns, T+=52 Number of negative returns, T-=15

Q: An air conditioner contractor has prepared an offer to repair the air conditioner compressor. To…

A: Introduction to Exponential distribution: A random variable X is said to have a exponential…

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: A recent study at a college classified a group of 200 students according to whether they attended…

A: Given information: The total number of students is N = 200. It is given that 93 students attended…

Q: Random samples of 900 people in the United States and in Great Britain indicated that 60% of the…

A: Given US GB Sample size n1=900 n2=900 Sample proportion p^1=0.60 p^2=0.66 Assuming…

Q: A researcher is interested in if Dungeons and Dragons (DnD) reduces stress levels over time. They…

A: A researcher is interested in if DnD reduces stress levels over time. 50 participants reported their…

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

A: Given- Pbeing HIV positive=1100000305000000=0.0036Ptest result is positivebeing HIV…

Q: In a study of 295,245 cell phone users, it was found that 48 developed cancer of the brain or…

A: The value of probability P (X ≤ 48) is obtained below:From the given information, let the random…

Q: In a study of 251,402 cell phone users, it was found that 78 developed cancer of the brain or…

A: Solution

Q: One common disease among pediatric patients is streptococcal pharyngitis (strep throat). If a…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: There are a thousand men in a cohort for which prostate cancer prevalence is 2.7%. The test we're…

A: Probability trees are used to calculate probability values.

Q: In a study of 420,000 cell phone users in Denmark, it was found that 135 developed cancer of the…

Q: Assume a cardiovascular surgeon has implanted 13 pacemakers in his patients from a new batch of…

Q: A newly developed medical procedure to prevent death in women who give birth and experience…

Q: Suppose a hospital wants to evaluate the effectiveness of a new treatment for a certain disease.…

Q: In a study of 441,193 cell phone users, it was found that 76 developed cancer of the brain or…

Q: In a study of 450,900 cell phone users, it was found that 200 developed cancer of the brain or…

A: It is given that the probability of the person developing cancer of the brain or nervous system is…

Q: a recent study of 500 patients found that of 300 overweight patients, 240 had elevated cholesterol…

Q: In an experimental study in the Philippines, citizens with a certain blood type volunteer for a test…

A: If each trial has only two possible outcomes, i.e., success and failure, the probabilities of…

Q: What is the likelihood of a randomly selected individual from a given population having a genetic…

Q: In a study of 387,979 cell phone users, it was found that 133 developed cancer of the brain or…

Q: There are a thousand men in a cohort for which prostate cancer prevalence is 2.1%. The test we're…

A: Given , Prevalence =P(patient has prostate cancer) = P( B+ )2.1% = 0.021 P(patient does not have…

Q: The coach of the Genesee Valley Swim Team claims that the probability of a chipped tooth is the same…

A: The observed counts are:Beginning: 13Intermediate: 8Advanced: 5Total chipped teeth: 26Total…

Q: A court formed of three judges find that a person is guilty when atleast 2 of the 3 judges consider…

A: Let A : The ith judge vote the accused person as guilty, i=1,2,3.. B: The person accused is actually…

Q: A national virological survey identified that 65% of people in a particular city was infected with…

A: Given,p=0.65q=1-0.65q=0.35n=4X=no.of people infected with SARS-cov2 virusX~Binomial(n=4 ,…

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

United Blood Services is a blood bank that serves more than 500 hospitals in 18 states. According to their website, a person with type O blood and a negative Rh factor (Rh-) can donate blood to any person with any blood type. Their data show that 43% of people have type O blood and 15% of people have Rh- factor; 52% of people have type O or Rh- factor.a. Find the probability that a person has both type O blood and the Rh- factor.b. Find the probability that a person does NOT have both type O blood and the Rh- factor.
Suppose that on a comprehensive exam at the end of a master's degree program, each student must answer a total of 50 exam questions. Suppose that in the grading of each question there is an error which either awards 1 extra point or takes away 1 extra point, with equal likelihood. What is the expected net error?
FASTPlaqueTB is a diagnostic test for the presence of tuberculosis bacilli. In a community, for thosesubjects known to have the tuberculosis bacilli, the FASTPlaqueTB test was positive 70% of the time. Forthose subjects known not to have the tuberculosis bacilli, the FASTPlaqueTB test was negative 99% of thetime. Statistics indicate that about 14.2% of the people in the community have the tuberculosis bacilli.Define all the events, draw a tree diagram, and answer the following two questions. (a). What is the probability that a randomly selected person from the community will have a positiveFASTPlaqueTB test result? (b). What is the probability that a person from the community who tests positive does not have tuberculosisbacilli?
The effectiveness of a vaccine for a certain disease is about 45%. This means that 45% of thevaccinated person will not get the disease when exposed. Assume that each person’s response tothe disease is independent of another person’s response. 1) Find the probability that less than FIVE (5) persons will not get the disease if 12 people areexposed.2) Find the probability that more than SIX (6) persons will not get the disease if 10 people are exposed. 3) Suppose a new vaccine has been introduced for the disease. The experimental study shows thatthe probability of NONE out of 12 people exposed will not get the disease is 0.05. Find the probability of effectiveness of the new vaccine
A sample of 500 large companies showed that 120 of them offer free psychiatric help to their employees who suffer from psychological problems. If one company is selected at random from this sample, what is the probability that this company offers free psychiatric help to its employees who suffer from psychological problems? What is the probability that this company does not offer free psychiatric help to its employees who suffer from psychological problems?
Eye of Jade is a pretty popular tatoo parlor here in Chico, with on averge 1 walk-in customers a day. Assume that people randomly decide to get a tatoo that day and walk in to Eye of Jade independently of other patrons. What is the expected value and variance of of the number of walk-in customers that Eye of Jade can expect to see in a week.
A sample of 20 people is selected randomly without replacement from a population of 78 sufferers of Parkinson's disease. We know there are 8 people whose symptoms related to language production have lessened after vocal and facial modeling therapy using a computerized feedback mechanism. What is the probability that, in this sample of 20, more than 2 benefitted from this therapy??
A box contains resistors, where 8% of the resistors are deficient because their resistance values are not meeting specifications written on the box. Operators of the workshop are testing resistors before the resistors are soldered to an electrical circuit. The operators select deficient resistors with a probability of 0.98. However, the operator can incorrectly check a good resistor and assume that it is deficient with a probability of 0.02. If a resistor is selected as deficient after it was tested by an operator, what is the probability that the resistor is actually unusable for the electrical circuit? (Use Bayes' Formula)
In a study of 320,354 cell phone users, it was found that 34 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000142 probability of a person developing cancer of the brain or nervous system. We therefore expect about 46 cases of such cancer in a group of 320,354 people. Estimate the probability of 34 or fewer cases of such cancer in a group of 320,354 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(xs 34)= H(Round to four decimal places as needed) (b) What does the result from part (a) suggest about the media reports? O A. The media reports appear to be correct because one would expect that less than 46 cell phone users would develop cancer and the study offers some evidence to support this O B. The media reports appear to be incorrect because one would expect that more than 46 cell phone users would develop cancer In fact, the study may offer some…
A certain man and a certain woman both have a 50% chance of being a heterozygous carrier for a recessive allele. If they have 1 child, what is the chance the child will be homozygous recessive? Which rule of probability is used to solve this problem?
A consumer organization inspecting new cars found that many had appearance defects (such as dents, scratches, or paint chips). While none of the new cars had more than three of these defects, 7% had exactly three, 11% had exactly two, and 21% had exactly one such defect. If we randomly select a new car and let X = the number of appearance defects on the selected car, then what are the expected value and standard deviation of X?
Consider again the electronics manufacture from Question 1.Another employee, on a different day, decides to take her own simple random sample (not using cluster or stratified) and she selects n = 20 voltmeters from the population.What is the probability that she would select at least 1 digital voltmeter from her sample of 20? *I only am looking for Q2, I have already figured out Q1.