A type-a DNA trait occurs nineteen times out of every one hundred  people. In a group of twenty three people where this birth defect occurs, what is the probability of finding at most four individuals with this defect?

Q: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

A: Solution

Q: A manufacturing machine has a 3% defect rate . If 9 items are chosen at random , what is the…

A: Given data, p=3%=0.03 n=9 P(X>=1)=?

Q: Historically 20 % of workers participate in a retirement plan. A group of 5 workers is randomly…

A: Given data, 20 % of workers participate in a retirement plan.  p=20% =0.20 A group of 5 workers is…

Q: In a factory, 40% of the machines are defective. If a sample of 10 machines is selected randomly,…

A: Calculate the number of possible combinations of 4 defective machines out of 10: (10 choose 4) =…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: A manufacturing machine has a 3% defect rate. If 6 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=3%=0.03 The number of items chosen is: n=6   The…

Q: A shipment of fifteen parts, including four that are defective, is sent to an assembly plant. The…

A: Determine the probability of defective as well as not defective parts. Pdefective=415 PNot…

Q: A study contains 31 women and 24 men. If 3 subjects are randomly selected without replacement, what…

A: Solution-: We have, Number of women =31, Number of men =24            Total number of persons (Women…

Q: A telephone survey uses a random digit dialing machine to call subjects. The random digit dialing…

A: The telephone survey uses a random digit dialing machine to call subjects.

Q: If 10% of the population has a certain characteristic, what is the probability that in a random…

A: n = 10, p = 10% = 0.10, q = 1 - p = 1 - 0.10 = 0.90X ~ Bino(n = 10, p = 0.10)Let X be the number of…

Q: Six tissues are extracted from an ivy plant infested by spider mites. The plant is infested in 20%…

A: Given,n=6p=0.20A random variable X~Binomial(n=6 , p=0.20)P(X=x)=6x 0.20x1-0.206-x  ;  x=0,1,...6

Q: A food manufacturer is analyzing a sample of 500 corn kernels for the presence of a toxin. In this…

A: In the given case, the total sample size (n) is 500. Assuming X to represent the number of kernels…

Q: A tire company produced a batch of 5,500 tires that includes exactly 220 that are defective. If 4…

A: Obtain the probability that all the tires good. The probability that all the tires good is obtained…

Q: Suppose that 9% of college undergraduates suffer from a psychological disorder. What is the…

A: Let p be the probability that an undergraduate has a psychological disorder. Given that p = 0.09 Let…

Q: According to a study by the National Institute of Health (HERE) 90% of the world's population is…

A: From the provided information, According to a study by the National Institute of Health (HERE) 90%…

Q: Six tissues are extracted from an ivy plant infested by spider mites. The plant is infested in 20%…

A: Given: n=sample size=6p=probability of success=20%=0.20

Q: A company receives 65% of its orders over the Internet. Within a collection of 18 independently…

A: Given data, n=18 p=65%=0.65 P(X≤4)=?

Q: An experiment consists of dealing four cards from a standard 52-card deck. What is the probability…

A: Four cards are dealt from a standard deck of 52 cards.

Q: In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students…

A: Given information- We have given a problem of the binomial distribution. Probability of the physics…

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: Suppose that 30% of all college freshmen gain weight. A sample of 20 selected randomly. What is the…

A: The random variable X is the college freshmen gain weight which follows binomial distribution with…

Q: Suppose that 53% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: In a market study, a researcher found that 70% of customers are repeat customers. If 10 customers…

A:

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: It is given that P( success ), p = 10% = 0.10Sample size, n = 9

Q: If 11% of the population has a certain illness , what is the expected number of ill people in a…

A:

Q: An urn contains 10 red balls, 20 yellow balls, and 40 orange balls.  If you reach into the urn and…

A:

Q: Suppose that 68% of people are left handed. If 24 people are selected at random, what is the…

A: Here, probability that the people are left handed is 0.68 and sample size 'n' is 24.

Q: A manufacturing machine has a 8% defect rate. If 6 items are chosen at random, what is the…

A: Given data:   The given probability of defect rate is p=8%=0.08. The given numbers of items are n=8.…

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.