A new surgery is successful 80% of the time. If the results of 6 surgeries are randomly sampled, what is the probability that more than 3 of them are successful?

Q: A study indicates that 73% of cars have have satellite radio. You randomly sample 8 cars. Find the…

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

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

A: Here, the sample size is n=1000 and the probability of defective items is 0.14. Consider, μ=np…

Q: A kindergarten class consists of 14 boys and 11 girls If the teacher selects a random sample of n =…

A: Given that there are 14 boys and 11 girls. So total (14+11)=25 students. If 2 boys are picked, then…

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 administrators are selected randomly from the​ faculty, what is the approximate probability that…

A: Given that, No. of teachers = 2000 P(men) = p = 50% = 0.50 P(women) = q = 50% = 0.50 No. of…

Q: Based on surveys, 97% of students own cell phones.  What is the probability that 10 randomly…

A: Given,p=0.97n=10X=no.of students own cell phones.X~Binomial(n=10 , p=0.97)P(X=x)=Cxn px(1-p)n-x ;…

Q: Seventy-six percent of toddlers get their recommended immunizations. Suppose that 6 toddlers are…

A: Given,p=0.76n=6

Q: A certain type of ochro seed germinates 75% of the time. A backyard farmer planted 6 seeds. What is…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: xperience has shown that 15% of Tshwane municipal rates bills contain an estimated amount for…

A: Given that p=0.15 and n=75

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: Six percent of American adults are considered millionaires. If 100 randomly selected adults are…

A: Here it is given that 6% of American adults are millionaire. We need to find the probability of 7 or…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: When purchasing boards from a wood supplier, it has been documented that 44% of the boards that are…

A: Given that  Sample size n =300 Population proportion p=44%=0.44

Q: If 10% of men are bald, what is the probability that fewer than 100 in a random sample of 900 are…

A: Solution:Binomial distribution approximated to normal distribution or not is checked below:It is…

Q: A nylon connector manufacturing plant yields 16 % defective items. If 1000 connectors are randomly…

A:

Q: A company gets 5 letters of complaint (in average) per day. What is the probability of having 4…

A: Given :-   A company gets 5 letters of complaint (in average) per day , so λ=5  probability of…

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: the past year 28% of businesses have eliminated jobs. If 10 businesses are randomly selected, what…

A: given data, p= business have eliminated jobs p=0.28q=1-0.28=0.72n=10x= no.of have elimated jobs…

Q: The probability a German speaks English is 56%. If five Germans are randomly selected from across…

A: The probability a German speaks English is 56% i.e., Five Germans are randomly selected from across…

Q: In a factory that produces blocks of ready- made concrete, if the percentage of production of…

A: Given data,Sample size n=5Percentage of production of defective blocks is p=0.6Let X be event that…

Q: In a large population, 66% of the people have been vaccinated. If 3 people are randomly selected,…

A: It is given that n =3, p = 0.66.

Q: 65% of men consider themselves to be knowledgeable football fans. If 6 men are selected randomly…

A: given that, 65% of men consider themselves to be knowledgeable football fans. Let, X=denotes the…

Q: What is the probability of drawing two red cards from a standard deck of 52 playing cards?

A:

Q: An experiment consists of tossing a fair coin 3 times. Find the probability of getting at least two…

A:

Q: Jacks were drawn 2 out of 4 times. Calculate the experimental probability.

A:

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: The number of male students is 20 and the number of female students is 20.

Q: A manufacturer of electronic car vehicles finds that 10% of production is defected. What is the…

A: The binomial distribution is a discrete probability distribution with parameters n and p. If x is a…

Q: A sample of 3 medicine bottles is taken from an injection molding machine that is 10% nonconforming.…

A: Given,Sample size, n = 3Probability of success, p = 10% = 0.10Let X be a random variable represents…

Q: In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Solution: Let X be the number of people has been vaccinated and n be the sample number of people…

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: In one town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A:

Q: 33 live births per 1,000 per year result in twins, what is the probability of getting more than…

A: The true percentage of live births that result in twins will be: p  =331000×100    =3.3%

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.