The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.

Q: on an uninfected person. What is the probability that a randomly tested person from this area will…

A: given that

Q: Given that an egg is large, what is the probability (between 0 and 1) that it was laid by a sumatra…

A: Let us define some events A : an egg is laid by chantecler variety  B : an egg is laid by sumatra…

Q: What is the probability that a randomly selected balloon animal is green given that the balloon…

A: Since , the table given below ,    Giraffe Dog Total Purple 15 15 30 Green 5 12 17 Total 20…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Consider X be a random variable which follows binomial distribution indicates the blood sample of…

Q: A certain group of women has a 0.37 ​% rate of​ red/green color blindness. If a woman is randomly​…

A: The probability of compliment of an event A, is defined as P(A’) = 1 – P(A).

Q: The manager of the Fore and Aft Marina in the previous problem wants to investigate the possibility…

A: (1). Compute the probability that the boat dock will be idle: The arrivals follow a Poisson…

Q: An oil company has determined that the probability of finding oil at a particular drilling operation…

A: Let p be the probability of finding oil at perticular drilling operations.  Given p=0.20  Let X be…

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: We have to find given probability.

Q: It has been found that 1 out of every 10 people who visit a local store purchase cigarettes. If we…

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

Q: An insurance company classifies the airplane it insures into class L (low risk) and class H (high…

A: a) It is given that, the proportion of airplanes belongs to class H is 30% or 0.3.

Q: From a prior national study, we are able to infer that the probability of a high school student…

A: Probability of a senior from Tom River  going to college (p) = 0.6 (since all of their parents have…

Q: Suppose we observe 80 alcoholics with cirrhosis of the liver, of whom 25 have hepatomas, that is,…

A: Obtain the probability of observing at least 30 cases of hepatomas among the 80 alcoholics with…

Q: What is the probability that exactly two of these are larger than one ?

A:

Q: 2. The quality of computer disks is measured by the mumber of missing pulses. Brand X is such that…

A: It is given that the probability of the disks have no missing pulses is 0.80.

Q: A sample preparation for a chemical measurement is completed correctly by 25% of the lab…

A:

Q: An analyst estimates that the probability of default on a seven year AA-rated bond is 0.49, while…

A: Let; AA = Default on a seven year AA-rated bond A = Default on a seven year A-rated bond Given;…

Q: In a certain high school, the probability that a student drops out is 0.05, and the probability that…

A: The formula for a randomly selected student gets GED is

Q: According to a study published in a reputable science​ magazine, about 8 women in​ 100,000 have…

A: We have given that  P(C)=0.00008 P(test pos|C)=0.89 Find P( test pos and C)

Q: A component of a spacecraft has both a main system and a backup system operating throughout a…

A: Given: A component of a spacecraft has both a main system and a backup system operating throughout a…

Q: A contractor is planning the acquisition of construction equipment, including bulldozers, needed for…

A: The given question has been solved using one approach in the example itself. We will now understand…

Q: On average, under standard inspection, one in every 100 slaughtered chickens passes state inspection…

A: It is given that an average, one in every 100 slaughter chickens passes state inspection, even…

Q: It is a well-established fact that 40% of people are scared of squirrels. - If we take a SRS of 250…

A: Checking condition to use normal distribution: np=250×0.40=100>10…

Q: a certain population, a group of people has a 0.23% rate of heterochromia. If a random person is…

A: Probability = number of favorable eventstotal number of events

Q: In one locality, it has been established that the probability that a 20-year-old man reaches 70…

A:

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: What is the probability that a batch of serum survives the first departmental inspection but is…

A: A manufacturer of a COVID-19 vaccine is concerned about the quality of its flu serum. Batches of…

Q: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

A: A recent nationwide study of myopia, nearsightedness, found that 38.1% of U.S. adults ages 18 to 24…

Q: In an experiment involving smoke detectors, an alarm was set off at a college dormitory at 3 a.m.…

A:

Q: In a certain population, the probability that a randomly selected subject will have been exposed to…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: According to a recent article the average number of babies born with significant hearing loss…

A: The probability that exactly for babies were born deaf is obtained below:From the given information,…

Q: The CDC knows from past studies that 23 out of every 100 children from a local community have not…

A: We have to find given probability.

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: It is provided that the probability, in one country a randomly selected adult being infected with a…

Q: A random sample of 270 homes was taken from a large population of older homes to estimate the…

A: Given: A random sample of 270 homes was taken from a large population of older homes to estimate the…

Q: A certain group of women has a 0.210.21​% rate of​ red/green color blindness. If a woman is…

A: Given DataPercentage of women having red/green color blindness = 21%Probability of women having…

Q: A certain group of women has a 0.29​% rate of​ red/green color blindness. If a woman is randomly​…

A: Given, A certain group of women has a 0.29​% rate of​ red/green color blindness. Let P(A) = 0.29% =…

Q: To avoid being stuck with a shipment of defective HDTV sets, a large retailer tests a random sample…

A: Sample size n=3 Defect rate p=0.012 q=1-p=1-0.012=0.988 X=Number of defective items…

Q: is the probability that a hurricane does not occur on that day?

A: here given, It has been determined that the probability of a hurricane occurring on a certain day in…

Q: It has been found from experience that there is an average of five faults per 50 metres of cloth…

A: Probability distributions are of 2 types, discrete and continuous. Poisson distribution is a…

Q: A survey of families revealed that 58% of all families eat turkey at holiday meals, 44% eat ham, and…

A:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: It is given that, Aspirin claims that the proportion of headache sufferers who get relief with just…

Q: About 8% of the U.S. population catches the flue each season. Assuming everyine h?as equal…

A: The formula for calculating odds is given below:

Q: In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail…

A: Given : Let X : Number of trucks have blowouts  p : 0.39 ( Probability of trucks fail to complete…

Q: - What is the probability that a product attains a good review? - If a new design attains good…

A: Let us define some events A : a product is highly successful. B : a product is moderately…

Q: What is the probability that a randomly selected passenger survived on the Titanic? What is the…

A:

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Consider that p is population proportion of headache sufferers who get relief with just two…

Q: Empirical evidence suggests that 25% of Florida drivers are uninsured. If four random Florida…

A: The probability of more than one driver is uninsured can be calculated using Binomial distribution:

Q: A certain group of women has a 0.06% rate of red/green color blindness. If a woman is randomly…

A: Concept: Compliments are the mutually exclusive pair of events. The complementation rule states that…

Q: It is found that a certain pharmaceutical cures symptoms in 35% adults. If 500 people take the…

A: Givenp=0.35n=500x~Binomial(n=500,p=0.35)P(X=x)=(nx)(p)x(1-p)n-x   ; x=0,1,..,n

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.