When an adult is randomly selected, there is a 0.85 probability that this person knows what Twitter is. Suppose we want to find the probability that exactly three of five randomly selected adults know of Twitter. Does this procedure result in a binomial distribution?

Q: An analyst predicted that 3.5% of all small corporations would file for bankruptcy in the coming…

A:

Q: In target, approximately 73 people out of 100 will buy something that they don’t need. Assuming that…

A: a. The random variable X is defined as the number of people buying something that they don't need…

Q: The New York Times reported that 70% of adults know someone who has been exposed to coronavirus.…

A: Givenp=0.70n=20Let "x"be someone who has been exposed…

Q: A die is weighted in such a way that each of 5 and 6 is eight times as likely to come up as each of…

A: Given that P(5) = P(6) = 8 × probability of each of 1, 2, 3, 4

Q: In a certain community, it is accepted that 85% of households are two-income households. You select…

A: Given, n=150 p=85%=0.85 q=1-p=0.15

Q: In a recent year, 13% of businesses have eliminated jobs. If 6 businesses are randomly sampled, what…

A: Let us denote X=the number of businesses that have eliminated jobs. n=sample size=6 p=probability of…

Q: If one of these 210 individuals is selected at random, what is the probability that the person is a…

A: Here use Bayes Rule

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: According to a candy​ company, packages of a certain candy contain 18​% orange candies. Find the…

A: The proportion of orange candies in a certain package is : p=0.18 The sample size is given to be…

Q: In a population of wild flowers 53% are yellow and the remaining flowers are purple. If we took a…

A: Given p=0.53 n=263 Since np=139.39>10 and np(1-p)=65.51>10 Now, using normal approximation,…

Q: In any given sampling, there is a 54% chance that a new invasive fish to be sampled along with other…

A: Probability: Probability is a chance factor that can occurs at every outcome of a random experiment.…

Q: With one method of a procedure called acceptance sampling, a sample of items is randomly selected…

A: With one method of a procedure called acceptance sampling, a sample of items is randomly selected…

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…

A: It is given that n =5 and p = 0.40.The probability mass function of binomial distribution is given…

Q: About 24% of flights departing from New York's John F. Kennedy International Airport were delayed in…

A: The assumption of Binomial distribution is all the trials are independent. Here the trials are…

Q: About 8% of males are colorblind. A researcher needs three colorblind men for an experiment and…

A:

Q: Suppose that 50% of adult Australians believe that Australia should apply to host the next rugby…

A: Given: p=0.5 n=150

Q: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

A: 15% of adults in the United States do not make New Year's resolutions. Suppose a random sample of…

Q: It is assumed that 78% of the seeds of a certain type of wheat germinate. If we randomly select 340…

A:

Q: In a batch of 2000 calculators , there are, on average, 8 defective ones. If a random sample of 150…

A:

Q: 8. If 30 percent of the mice used in an experiment will become very aggressive within one minute…

A:

Q: Given a binomial distribution in which the probability of success is 0.53 and the number of trials…

A: Using binomial distribution we find the probability.

Q: A researcher is interested in conducting a mail survey. He finds out that there is a 40% response…

A: The probability that none responds is,

Q: Suppose 48 % of the registered voters in a country are Republican. If a sample of 597 voters is…

A: The mean of sampling distribution of proportion is obtained below: From the given information, the…

Q: A survey has shown that on average, 1 person in 1000 makes a mistake on leaving their belongings…

A:

Q: A certain group of women had a 0.73% rate of red/green color blindness. If a woman is randomly…

A: It is given that a certain group of women had a 0.73% rate of red/green color blindness.

Q: A certain group of women has a 0.63% rate of red/green color blindness. If a woman is randomly…

A:

Q: A recent study suggested that 70% of all eligible voters will vote in the next presidential…

A: It is given that n =20 and p =0.70.

Q: Public Opinion reported that 5% of Americans are afraid of being alone in a house at night. If a…

A:

Q: It is stated by the IRS that 71% of filed returns receive a refund.  If you were to sample 50…

A: According to the given question, it is stated by the IRS that 71% of filed returns receive a refund.…

Q: 2. Refer to a 2008 report that states that 35% of US households have at least one high-definition…

A: We have given that the random variable X that is high-definition television follows Binomial…

Q: Suppose you have a bag with 6 blue marbles and 4 red marbles. Calculatethe following probabilities:…

A:

Q: A meteorologist found from the past year’s records that it rained 17% of the days. Based on this…

A: Let X= number of days rained  Number of observation= 15  probability of X= p = 0.17  So, X follows a…

Q: Suppose there is a 17.6% probability that a randomly selected person aged 35 years or older is a…

A: Unusual event: An event is said to be unusual if they have smaller probability of occurrence.…

Q: If the probability of a machine producing a defective part is 0.8, what is the probability of…

A: Givenp=0.8n=8Let "x" be the defective partsx~Binomial(n=8,p=0.8)P(X=x)=(nx)×px×(1-p)n-x   ;…

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 0.29​% 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: In a recent year 304 of the appoximately 300,000,000 people in the USA were struck by…

A: There are 300,000,000 people in the United States in which 304 people were struck by lightning. The…

Q: The experience of a house agent indicates that he can provide suitable accommodation for 75% of the…

A:

Q: Suppose that at a large university 30% of students are involved in intramural sports. If we randomly…

A: Obtain the probability that fewer than 5 of these students are involved in intramural sports. The…

Q: Previous surveys indicate 33% of households in Barrie regularly recycle household waste through a…

A: Given that  n=10 , p=33%=0.33 , q=1-p=1-0.33=0.67 X~Binomial(n=10,p=0.33) X= Number of blue box

Q: 1. Refer to a 2008 report that states that 35% of US households have at least one high-definition…

A:

Q: On one large campus, 18% of students surveyed said that they spend less than an hour a night…

A: Let X denotes the number of students spend less than hour a night studying. Here, n= 3 and p = 18%…

Q: On an average, a household receives 9.5 telemarketing phone calls per week. Using the poisson…

A:

Q: If you know that it rains during ten days out of every thirty days in a particular city. Using the…

A: In statistics theory, the Binomial distribution is the discrete probability distribution and it is a…

Q: According to a recent study, 1 in every 7 women has been a victim of domestic abuse at some point in…

A: Given that 1 in every 7 women has been a victim of domestic abuse at some point in her life.…

Q: A recent survey reported that 60% of managers own an iPhone. Using the binomial distribution, what…

A: The probability distribution of a binomial variate is given by: where n = No. of trials x= no.of…

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: If the probability of a machine producing a defective part is 0.01, what is the probability of…

A: