There is an antigen kit for COVID-19. If a person is infected, the kit will correctly report 989% of the time. If a person is not infected, the kit will incorrectly report that the person is infected 19% of the time. The kit is used in two communities called A and B. A and B differ in the percentage of the infected individuals. In A, 98% of the people have no virus. In B, 70% of the people have no virus. Alice lives in A. Bob lives in B. Both Alice and Bob use the antigen kit. They both have positive results. Compare their chances of actually having the virus.
Q: You and a friend are playing a game by tossing two coins. If both coins land on heads, you win. If t...
A: Consider that H denotes the head and T denotes the tail.
Q: Exercise 2. Solve the following problems. 1. Let the random variable Y represents the number of bond...
A: mean=E(Y)=∑Y.P(Y)
Q: rcise 2.3 (Conditional Probability) In Exercise 2.2, find the probability that a disk has high scrat...
A: The data is given by Shock High Shock Low Total Scratch High 80 9 89 Scratch Low 6 5 11 T...
Q: Events A and B are mutually exclusive. Suppose event A occurs with probability 0.12 and event B occu...
A:
Q: Answer each of the following problems. A. Find the area under a normal curve with mean p 100 and sta...
A: As per bartelby guideline expert have to answer first three subparts only dear student please upload...
Q: 1 3. 4 6. 7 Find the number of distinct arrangements of the 8 letters in SPINNING. Two of the same l...
A:
Q: (3) Find the density of the random variable X representing the number of correctly placed letters wh...
A: Given the random variable X such that, the number of correctly placed letters when n=1 letters are ...
Q: At a particular university, students' grades in introductory statistic classes are generally unimoda...
A:
Q: Year 1990 1995 2000 2005 Quantity/Price Quantity Price Quantity Price Quantity Price Quantity Price ...
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...
Q: Subject : Probability if you toss coin 4,000 times (head and tails), the outcomes will be close to 2...
A: Given information: n = 4000 p = 0.50(Probability of getting tail in a fair coin toss)
Q: Keiko is playing a game in which she spins a spinner with 6 equal-sized slices numbered 1 through 6....
A:
Q: 1. The probability that an albino rat will survive a medical experiment is 0.40. If ten animals are...
A:
Q: B. Find the variance and standard deviation of each of the fallowing probability distribution. 1. 2 ...
A:
Q: A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 s...
A: Let X be the number of gamma rays emitted per second follow Poisson distribution with Rate of emissi...
Q: what number comes next, given the pattern sequence 51,65,86,114,149
A: given the pattern sequence 51,65,86,114,149 Next number = ?
Q: Two coin are tossed. What is the probability of tossing “two heads or two tails”?
A:
Q: 2. A box contains 4 green and 2 blue dice. Three dice are chosen one after the other. Determine the ...
A: Hello! As you have posted 2 different questions, we are answering the first question. In case you re...
Q: 3. Three balls are divided between two containers. During each period a ball is randomly chosen and ...
A:
Q: Find the expected value for the random variable. 9. 12 15 18 21 P(z) 0.11 0.25 0.39 0.16 0.09 E(z) =...
A: Formula : E(z) = Σz * p(z)
Q: Exercise 2.2 (Probability of Joint Event) Test results of scratch resistance and shock resistance fo...
A: Given that Stock resistance high (B) Stock resistance low (B') Total Scratch resistance High...
Q: A tutoring service specializes in preparing adults for college equivalence test. Among all the stude...
A: Given that, P(Differential calculus) = 63% P(Integral calculus) = 34% P(both) = 27% p(Either differe...
Q: A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow...
A:
Q: Discuss how to estimate probabilities empirically using simulations.
A: Initially using simulation we obtain sample of any large size( 100,500,1000,5000 etc.) from the give...
Q: TOPIC: Distinguishable Permutation 1. Determine the number of permutations of the following words. ...
A:
Q: How do I could this in python? A homework assignment has a pass rate of 0.45. The probability that s...
A:
Q: For this problem, assume that there are 5 men and 8 women on the committee, and that a subcommittee ...
A:
Q: Two pumps connected in parallel fail independently of one another on any given day. The probability ...
A: Given data Let p be the probability that the both the pumping system will fail Probability that the...
Q: cise 2.6 (Bayes’ Theorem) In Exercise 2.4, what is the probability that a new design will be highly ...
A: Let us define some events A : design is highly successful. B : design is moderately successful. C : ...
Q: Suppose that a manufactured product has 2 defects per unit of product inspected. Using Poisson distr...
A: Using pmf of poisson distribution
Q: Use the figure below to find the outcome of the bets in roulette, iven the results listed. You bet s...
A: Given information: You bet $8 on the 32 in roulette.
Q: certain machine produces components having a mean length of 18 centimeters. As a result of measuring...
A: Given that; Population mean = 18 CM Population standard deviation = 0.2 CM By using standard normal ...
Q: Question 5 A parking enforcement officer has a quota of 10 citations to issue by the end of the shif...
A:
Q: 14. The random sample size n-5 are drawn from a finite population consisting of the numbers 15, 16, ...
A: ( 14 ) Given N = 5 , n= 5 How many possible samples are there ( 15) Given N = 5 , n =2 How ma...
Q: Let (X,)n>o be a Markov chain on a state space I = {0, 1, 2, 3, ...} with stochastic matrix given by...
A: Please please give thumbs up to save my account please please. Thank you You just asked to choose th...
Q: Here is one way to think about a mixed random variable. Suppose that we have a discrete random varia...
A:
Q: Construct a probability histogram of the given distribution below and answer the questions that foll...
A: Given that Probability distribution. X 2 3 4 5 6 7 8 9 10 11 12 P(x) 1/36 2/36 3/36 4/36 5/36...
Q: I have three bags that each contain 100 marbles: • Bag 1 has 75 red and 25 blue marbles; Bag 2 has 6...
A:
Q: TOPIC: Permutation How many four-digit numbers can be formed from the digits 1, 2, 6, 8, 9 if: A. ...
A:
Q: An urn contains 5 red pins, 7 blue pins, and 6 green pins. If 2 pins are drawn at random what is the...
A:
Q: Part a If X and Y are unbiased estimators, E[X] = E[Y] = µ, then is Z unbiased? Explain why or why n...
A:
Q: f (x) = cx, for 1<x<2 and 0 otherwise. Vhat is the value of c? А. 1/4 В. 1/2 C. 2/3 D. 1
A: Given,f(x)=cX ; 1≤X≤20 ; otherwise
Q: Use the data in the following table, which lists drive-thru order accuracy at popular fast food chai...
A:
Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be rep...
A: Given the question that, How many strings of eight English letters are there- a) that c...
Q: Scenario:Asking your classmates about their breakfast what is discrete random variable?
A: Discrete random variable taking the countable number of distinct values only like 0,1,2,3,.....etc. ...
Q: There are 5 shop assistants in a clothing store. One of them is colour-blind. If you request red soc...
A: Introduction: Denote A as the event that the shop assistant attending to the customer is colour-blin...
Q: A binomial probability distribution involves 60 trials with a probability of failure of 0.26. Find t...
A: The random variable x follows binomial with n=60 and p=0.26 The variance of binomial is V(X) =npq
Q: Question.9. From the following information, ascertain which project is more on the basis of standard...
A: The formula for finding Standard deviation is S.D=∑(xi-x¯)2.p where, x¯=∑xi n...
Q: A is known to hit the target is 2 out of 5 shots, whereas B is known to hit the target is 3 out of 4...
A: Hello! As you have posted 2 different questions, we are answering the first question(7). In case you...
Q: A family with 5 children is selected at random. What is the probability that the family has at least...
A:
Q: What is moving average? What are its uses in analysis of time series? Given the numbers 2, 6, 1, 5, ...
A: Given Information: Consider the data 2, 6, 1, 5, 3, 7, 2. Period = 3 Weights = 1,4,1
Step by step
Solved in 2 steps with 1 images
- Researchers at RTI International, an organization dedicated to healthcare research, designed a study to compare how many insured Americans are going to urgent care clinics versus the emergency room for COVID-19 testing based on health insurance status. They think people with private health insurance (e.g. Blue Cross Blue Shield) will be more likely to go to urgent care clinics compared than those with public health insurance (e.g. Medicaid) who would be more likely to go to the emergency room for COVID-19 testing. They plan to take a random sample of urgent care clinics and emergency rooms in Massachusetts to test their hypotheses. Researchers at RTI International, an organization dedicated to healthcare research, designed a study to compare how many insured Americans are going to urgent care clinics versus the emergency room for COVID-19 testing based on health insurance status. They think people with private health insurance (e.g. Blue Cross Blue Shield) will be more likely to go…Researchers at RTI International, an organization dedicated to healthcare research, designed a study to compare how many insured Americans are going to urgent care clinics versus the emergency room for COVID-19 testing based on health insurance status. They think people with private health insurance (e.g. Blue Cross Blue Shield) will be more likely to go to urgent care clinics compared than those with public health insurance (e.g. Medicaid) who would be more likely to go to the emergency room for COVID-19 testing. They plan to take a random sample of urgent care clinics and emergency rooms in Massachusetts to test their hypotheses. What is the independent variable? What is the dependent variable? What are the hypotheses?A study conducted by researchers was designed "to determine if application of duct tape is as effective as cryotherapy in the treatment of common warts." The researchers randomly divided 6969 patients into two groups. The 3535 patients in group 1 had their warts treated by applying duct tape. The 3434 patients in group 2 had their warts treated by cryotherapy. Once the treatments were complete, it was determined that 6969% of the patients in group 1 and 8585% of the patients in group 2 had complete resolution of their warts. The researchers concluded that cryotherapycryotherapy is significantly more effective in treating warts than duct tapeduct tape. Complete parts (a) through (d) below.(a) What is the research objective? A.To determine if duct tape is as effective as cryotherapy in the treatment of warts B.To determine if cryotherapy is as effective as duct tape in the treatment of warts C.To determine if cryotherapy is effective in the treatment of warts D.To determine if…
- A researcher would like to use a factorial study to compare two programs designed to help people stop smoking. The smoking behavior of each participant will be measured at the beginning of the program, at the end of the program, and again 4 months after the program has ended. Thus, the two treatment program make up one factor, three measurement times make up the second factor. For this study, which factor (s) should be between subjects and which should be within subjects?More than half of the 236 million people who have been diagnosed with COVID-19 worldwide since December 2019 will experience post-COVID symptoms -- more commonly known as 'long COVID' -- up to six months after recovering, according to researchers. The research team said that governments, health care organizations and public health professionals should prepare for the large number of COVID-19 survivors who will need care for a variety of psychological and physical symptoms." In a certain area in Pennsylvania, 70% of adult recovered COVID patients reported having "long-covid" 6 months after they were no longer infectious. A sample of 190 patients is to be taken from this area and studied. Let p-hat be the probability that someone who gets COVID also gets long-COVID. 1) What is the EXACT distribution of X? 2) What is the distribution of p-hat?Governor Andy Beshear stated that COVID-19 is disproportionately affecting the AfricanAmerican community in Kentucky. As of April 21, there are 144 deaths from COVID-19 where the race of the patient is known, and of those 20 are African-American. AfricanAmericans make up 8% of the population of Kentucky overall. Does this information indicate that African-Americans in Kentucky are dying from COVID-19 at a disproportionate rate? Use an α = 0.05 significance level to test this claim. (d) What is the P-value?(e) Write a brief summary of your conclusion.
- Suppose 60 percent of the customers at Pizza Palooza order a square pizza, 80 percent order a soft drink, and 48 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza?The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrongIn the city of AZ, there are two supermarkets, X-Mart and Y-Mart. It is assumed that every shopper makes a purchase once a week at one of these supermarkets (not both).In a study, 100 samples of shoppers were taken over 10 weeks. From the study, it is known that if a shopper goes to X-Mart in one week, 85 people will continue to shop at X-Mart in the following week, and if a shopper goes to Y-Mart in one week, 70 people will continue to shop at Y-Mart in the following week.Create a transition probability table and matrix for this scenario, and then If in the first week Ivankov buys from X-Mart, what is the probability that Terry will buy from X-Mart in the third and fourth weeks?
- For a telephone survey, a marketing research group needs to contact at least 600 wives, 480 husbands, 400 single adult males, and 440 single adult females. It costs $3 to make a daytime call and (because of higher labor costs) $5 to make an evening call. The file P03_31.xlsx lists the results that can be expected. For example, 30% of all daytime calls are answered by a wife, 15% of all evening calls are answered by a single male, and 40% of all daytime calls are not answered at all. Due to limited staff, at most 40% of all phone calls can be evening calls. a. Determine how to minimize the cost of completing the survey. b. Use SolverTable to investigate changes in the unit cost of either type of call. Specifically, investigate changes in the cost of a daytime call, with the cost of an evening call fixed, to see when (if ever) only daytime calls or only evening calls will be made. Then repeat the analysis by changing the cost of an evening call and keeping the cost of a daytime call…Suppose that a COVID-19 vaccine is 100% effective and Ro of COVID-19 is 2.5. What is the percentage of the population that needs to be fully vaccinated to reach herd immunity?The Virginia Department of Health publishes COVID-19 vaccination data on their website. As of 10/5/2021, 60.6% of the population of Virginia is fully vaccinated. This rate varies drastically from county to county. Specifically, Fairfax County’s full vaccination rate is 74% and Lee County’s full vaccination rate is 40%. A researcher took a random sample of 14 individuals from Fairfax County and another random sample of 14 individuals from Lee County and asked them whether they could verify that they are fully vaccinated. Each sample was selected in a single day. 1. Calculate the mean and standard deviation of the number of individuals from Fairfax County and Lee County in this sample who are fully vaccinated. Show your work using the binomial mean and binomial standard deviation formulas and provide your two means and two standard deviations in your document. Round your answers to two decimal places. (It is not necessary to use StatCrunch for this part.) 2. Calculate the probability…