Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random without replacement, what is the probability that at least three red balls will be obtained? What distribution will you use to answer this question?

Q: Suppose that you sampled 2 CEOs with replacement instead. How many different samples are possible,…

A: Sampling is a process which is used in statistical analysis. In sampling a predetermined number of…

Q: Suppose you select a token at random from the dish above. What is the probability that the token is…

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at…

A: Given data, p=20%=0.20 n=10 P(X=5)=?

Q: Suppose that 46% of people own dogs. If you pick two people at random, what is the probability that…

A: Independent Events:   The events A, B are said to independent if the occurrence of the event A do…

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 random group of 5 individuals, what is the probability that at least two of them have the same…

A: We have given that the group of 5 individuals.

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

A:

Q: It has been estimated that 21% of Americans are smokers. If five American adults are chosen at…

A: From the provided information, It has been estimated that 21% of Americans are smokers that is p =…

Q: It is estimated that 35% of households own a riding lawnmower. A sample of 15 households is studied.…

A:

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: A university claims that 70% of its athletes earn a degree.  Suppose that the records of 100…

A: 70% of the athletes earn a degree. 100 athletes are chosen at random. Define the Random Variable, X…

Q: If a single student is selected at random, what is the probability of "has a dog" OR "does not have…

A: It is given that Number of students with dog = 16 Number of students without cat = 78 Number of…

Q: A survey reveals that 80% of the eligible people in a certain county vote during a county election.…

A: Here, n = 70 and p = 0.80.

Q: Suppose a group of students take an influenza test and 96% of the students test positive. What is…

A: Given that Student tested positive = 96% I.e probability of students tested positive is =0.96

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: Suppose that 49% of people own dogs. If you pick two people at random, what is the probability that…

A: The probability that the people own dogs is 0.49.

Q: The newspaper reports that among individuals in the 18 to 22 age, 25% drink coffee. If 400 people of…

A: Given,n=400p=0.25q=1-0.25=0.75np=400×0.25=100≥5nq=400×0.75=300≥5we can use normal…

Q: Assume that in a group of 12 individuals, seven prefer football and five prefer cricket. A random…

A: Given : n = individuals = 12 football = 7 cricket = 5 a) Exactly two prefer football : =C27×C15C312…

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: Suppose that General Mills has a promotion in which one randomly selected miniature action figure is…

A: There are 5 distinct action figures. The probability distribution of the 5 boxes to receive a…

Q: A poll is given, showing 40% are in favor of a new building project. If 10 people are chosen at…

A: We have to find probability..

Q: In a sample of 50 employees, 32 were females, 22 were smokers, and 15 were males and smokers. If an…

A: Given that  Sample size (n) = 50 Number of females (F)  = 32 Number of males (M) = 50 -32 = 18…

Q: From experience, an airline knows that only 70% of the passengers booked for a certain flight…

A:

Q: A marketing survey indicates that 40% of the population owns an automobile, 45% owns a house, and…

A: Given data:     The percentage of the population owns an automobile is: P(A)=40% The percentage of…

Q: It is known that 10% of the calculators shipped from a particular factory are defective. What is the…

A: Givenp=0.10n=5x~Binomial(n=5,p=0.10)P(X=x)=(nx)×px×(1-p)n-x    ; x=0,1...,n

Q: It is estimated that 55% of households own a riding lawnmower.  A sample of 20 households is…

A:

Q: A poll is given, showing 25% are in favor of a new building project. If 9 people are chosen at…

A: Given data, p=25%=0.25 n=9 P(X=8)=?

Q: What is the probability that at least 2 out of 30 received special accommodation?

A: Let p be the probability that a student will need special accommodation. Given that p = 0.015 Let X…

Q: a. What is the probability that exactly 10 are from their elementary school? b. What is the…

A: Given:  In one of the biggest schools in Metro Manila, 80% of their high school students are known…

Q: A poll is given, showing 25% are in favor of a new building project. If 10 people are chosen at…

A: Let "X" be the people who are in favor of the new building.

Q: It is known that in a batch of milk cartons, 30% are underfilled. In a sample of six milk cartons…

A: Given that the batch of milk cartons underfilled is 30% and there are sample of six milk cartons.…

Q: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

A: Suppose three fair coins are tossed and the number of heads that appear is recorded.  What is the…

Q: It is estimated that 4000 of the 10,000 voting resident of a town are against a new sales tax. If 15…

A:

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: It is estimated that 10% of the world population is left-handed. If 3 people were randomly selected,…

A: The probability that the only left-handed individual is the third person selected is computed as…

Q: A population consists of 15 items, 10 of which are acceptable. In a sample of four items, what is…

A:

Q: A poll is given, showing 80% are in favor of a new building project. If 9 people are chosen at…

A:

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

A:

Q: A poll is given, showing 20% are in favor of a new building project. If 10 people are chosen at…

A: Solution: Let X be the number of people favor the new building project and n be the sample number of…

Q: It is estimated that 45% of households own a riding lawnmower.  A sample of 15 households is…

A: we want to find the probability that exactly 7 of these on a riding lawnmower

Q: Suppose that 75% of all college students use TikTok. If 15 are selected at random: a)What is the…

A: Given :  Let X : No. of college students use TikTok  p = 0.75  n = 15

Q: A poll is given, showing 45% are in favor of a new building project. If 10 people are chosen at…

A: We have to find given probability.

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: A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at…

A:

Q: If a ball is selected at random from an urn containing three red balls, two white balls, and five…

A: According to the provided information, there are 3 red balls, 2 white balls, and 5 blue balls

Q: are selected at random, what is the probability that the majority of the committee members are…

A: here  from given information, total 20 member  12 are teachers and 8 are students here 5 members are…

Q: What is the probability that the consumer is 18-24 years of age, given that he/she dislikes…

A: AS PER POLICY I HAVE CALCULATED 3 SUBPARTS  here use given table and basic probability rule and…

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: A poll is given, showing 65% are in favor of a new building project. If 9 people are chosen at…

A: Let X be the number of people who are in favor of a new building project which follows binomial…

Q: The probability that an individual is left-handed is 12%. In a randomly selected class of 30…

A: The following information has been given: The probability that an individual is left-handed is 12%.…

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.