A drug den uses a traveler to deliver drugs without being apprehended by the customs. The traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance. If the customs official selects 3 of the tablets at random for analysis, what is the probability that the traveler will be arrested for illegal possession of narcotics?

Q: A customs inspector decides to inspect 3 of 16 shipments that arrive from Madrid by plane. If the…

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Q: In a dental study on children it was found that the probability of the child population having any…

A: P(C) = p = 2/3 P(Not C) = q = 1-p= 1/3

Q: Catherine Chao, director of marketing research, needs a sample of Kansas city households to…

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Q: A biologist finds that 25​% of fruit flies have short wings and 30​% have eye defects. Assuming…

A: Solution:From the given information, the probability that fruit flies have short wings is 0.25…

Q: It has been been found that 1 out of 10 visitors to a museum buys something from a gift shop. If we…

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Q: The manager of Vangaurd Assurance has recently examined the automobile insurance customers and found…

A: It can be observed that there are two possible outcomes. Now for such probability questions, normal…

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: A leading large college recently reported that 40.5% of its student body had concerns about the…

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Q: A maker of yardsticks has an ink problem that causes the markings to smear on 4% of the yardsticks.…

A: Given information:It is given that N=2,000; n=100; p=0.04 (=4%).The sample proportion is…

Q: A manufacturing company has determined that a machine averages one faulty unit every 600 it…

A: Given that a machine averages one faulty unit every 600 it produces. so the average number of the…

Q: What is the probability that a randomly selected tea is mint given that the tea is caffeinated?

A: The data is given by   Caffeine-free Caffeinated Total Mint 7 7 14 Fruity 11 7 18 Total 18…

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: What is the probability of randomly selecting a 3-children family with two girls?

A: We will first list all possible outcomes in the sample space, then we will use following definition…

Q: A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a…

A: Given Data: p=3/20=0.15 n=2   X~ Binomial (2, 0.15)

Q: A monk crossbred plants, which can have purple or white flowers, and obtained 686 plants with white…

A: Given, Total number of flowers =686  Plants with white flowers  plants with purple flowers =1076…

Q: On average, 5.5 shoplifting incidents occur per week at an electronics store.  What is the…

A: Poisson Distribution :  A Poisson distribution is a discrete probability distribution that applies…

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: Suppose a recent study determined that 29% of Americans favorite ice cream flavor is If a sample of…

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Q: Suppose that 56% of students in a college have a smart phone. If you select three students at…

A: Solution: It is given that 56% of students in a college have a smart phone.  Thus, probability that…

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

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Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Obtain the probability that the first strike comes on the second well drilled.   The probability…

Q: A salesperson found that there was a 1% chance of a sale from her phone solicitations. Find the…

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Q: A journalist wanted to learn the views of the chief executive officers of the 500 largest U.S.…

A: Given : Sample size (n)=81population proportion (p)=0.55 P( p^<0.50)=?

Q: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

A: In the bottle, there are (6+9) = 15 tablets. Among the 15 tablets, 6 are narcotic tablets and 9 are…

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

A: Given, P(L)=0.7 P(H)=0.3 P(no accident | L)=0.99 P(no accident | H)=0.88 Conditional probability:…

Q: In a survey of Canadian nurses who worked more than 45 hours per week, it was found that 321 nurses…

A: Given Data n(nurse under 35 age)=321 n( nurse between 35 to 55 age)=403   Total=321+403=724

Q: If I have 8 cars and 11 trucks to select from to be tested for a safety inspection, what is the…

A: We have, n1= 8 = the number of cars n2 = 11 = the number of trucks N= 19 = total number of vehicles…

Q: On a particular production line, the likelihood that a light bulb is defective is 4%. five light…

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Q: A nylon connector manufacturing plant yields 15 % defective items. If 1000 connectors are randomly…

A: Here, n = 1000, p = 0.15.

Q: 45 employees were randomly chosen from different companies and asked whether they were happy with…

A: T = Total  n(T) = 45

Q: Approximately 11% of students at BCC are Criminal Justice majors. If you take a simple random sample…

A: Let X= number of students who are Criminal Justice majors the probability of a student being…

Q: A colony of laboratory rats contain 16 white rats and 9 spotted rats.What is the probability of…

A: Introduction:Probability of an event is the number of outcomes favorable to the event, divided by…

Q: A firm offers routine physical examinations as part of a health service program for its employees.…

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Q: A nylon connector manufacturing plant yields 14 % defective items. If 1000 connectors are randomly…

A: It is given that p = 0.14 and n =1,000.

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: In the current campaign period, suppose a random person is selected, based on previous survey, there…

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Q: A recent survey shows that 16% of college students have dogs and 38% have an HBO subscription.…

A: Percentage of student have dogs is 16%. Percentage of student have HBO subscription is 38%.

Q: f 2 percent of the rifles in an arsenal are defective, what is the probability that a random sample…

A: Given that  2 percent of the rifles in an arsenal are defective . P = 2% = 0.02 Sample size (n) =…

Q: It is known the 60% of toddlers have too much screen time. A randome sample of 8 toddlers were…

A: Here, too much screen time follows binomial distribution with n = 8 and p = 0.60.

Q: A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and…

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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: To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin…

A: In the bottle, there are (6+9)=15 tablets.  Among the 15 tablets, 6 are narcotic tablets and 9 are…

Q: What is the probability that none of the 10 teenagers uses pandora media inc.'s online radio…

A: The problem can be solved using binomial distribution formula.

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: An accounting firm has found that 8 out of 12 companies audited contain minor errors in their books.…

A: Given: Number of companies (n) = 12 Number of companies contain minor errors (x) = 8

Q: A manufacturer of metal pistons finds that on the average, 18% of his pistons are rejected because…

A: Givensample size(n)=15p=18%=0.18Let "x" be the no.of pistions…

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