Seventy five percent of students at a collage with a large student population of Size 100 use the social media site Instagram. Five students are randomly selected from the collage, and then the probability that exactly two of these three students use Instagram is

Q: Thirty percent of a population of consumers is reputed to prefer a particular brand, say Brand A, of…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…

Q: In a large population, 54 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given data: 54% of the people have been vaccinated.

Q: 10. At John F. Kennedy Elementary School, 81% of students buy their lunch. In a randomly selected…

A: We have given that p = 0.81 n = 22 X ~Binomial(n, p) X ~ Binomial (22, 0.81)The PMF of the Binomial…

Q: In a company survey of 1000 skiers and bikers it is found that 80% like skiing and 60% like biking.…

A:

Q: Eighty-two % of trees planted by a local landscaping company survive. In a random sample of 200…

A: Solution

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: Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a…

A:

Q: In a large population, 59 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Binomial distribution:It is a discrete probability distribution that has exactly two outcomes for…

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: From the provided information, Sample size (n) = 100 Probability (p) = 0.53 Now,

Q: 60% of people who purchase sports cars are men. If 10 sports car owners are randomly selected, find…

A:

Q: In a large population, 52 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Let p be the proportion of vaccinated people. Given that p = 0.52 Let X denotes the number of…

Q: A sample of automobile dealerships found that 19 % of automobiles sold are silver. If two cars are…

A: Given Information: 0.19% of the automobiles sold are silver. Two cars are selected randomly.

Q: In a large population, 69% of the people have been vaccinated. If 5 people are randomly selected,…

A: Given: Sample size (n) = 5 p(people have been vaccinated) = 0.69 Formula: Let "X" be the people that…

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Consider X be random variable which follows binomial distribution indicates the students belongs to…

Q: Thirty percent of the students in Unix College is in favour of a ban on drinking in the dormitories.…

A: Let us assume that X= number of students who favor ban  X follows a binomial distribution with…

Q: A recent survey shows that 60% of families regularly schedule family vacations for the month of…

A: Given, 60% of families regularly schedule family vacations for the month of April. Let X = number of…

Q: In a certain conservative precinct, 69% of the voters are registered Republicans. What…

A: Solution: Given data; P = 0.69 Sample size (n) = 100 To find: P( X >= 58) =?

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: In a large population, 55% of the people have been vaccinated. If 3 people are randomly selected,…

A: Let "X" be the people that have been vaccinated.

Q: Of the physics graduates of a university, 25% received starting salaries of $30,000 or more. If 3 of…

A:

Q: A cookie is selected at random from a basket containing 16 sugar ​cookies, 28 peanut butter…

A: Ans --> Given, A cookie is selected at random from a basket containing 16  sugar cookies,  28…

Q: At a college, 71% of courses have final exams and 45% of courses require research papers. Suppose…

A: Solution-: Given: P(Courses have final exam)=0.71 (or 71%) ,P(Course have research paper )=0.45 (Or…

Q: In the construction of midrise buildings, a safety engineer claims that only 40% of all workers wear…

A: Solve using Binomial distribution

Q: In a large population, 64 % of the people have been vaccinated. If 4 people are randomly selected,…

A: Proportion of people vaccinated (p) = 0.64 Proportion of people not vaccinated (q) : q=1-pq=0.36 n =…

Q: In a large population, 53% of the people have been vaccinated. If 5 of the people are randomly…

A: It is given that n = 5 and p =0.53.

Q: It is determined that 62% percent of Grade 12s attend school in a particular urban school district.…

A: Given : n = 500 p = 0.62 q = 1 - p  q = 1-0.62 q = 0.38 Here n×p and n×q is greater than 5. hence we…

Q: In a certain science degree program, 25 percent of the students failed their mathematics exam, 15…

A:

Q: In a population where 34%34% of voters prefer Candidate A, an organization conducts a poll of 1010…

A: Let, X= number of voters who will prefer candidate A. Given that the probability of voters who…

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

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

A:

Q: In a certain examination, 80% of the candidates pass English and 75% pass French, whereas 15% fail…

A:

Q: A survey reports that 53% of college students use Google as their search engine. If 100 students of…

A: Given that n=100 p= 0.53 q= n-p=0.47 μx= n*p= 53 Standard deviation= σ= sqrt(n*p*q)=4.991   Add…

Q: A survey of the membership of a country club indicates that 50% regularly use the golf course, 34%…

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

Q: A flashlight has 71 batteries, 13 of which are defective. If two are selected at random without…

A:

Q: Fifty-three percent of all persons in the U.S. population have at least some college education.…

A: Given : Fifty-three percent of all persons in the U.S. population have at least some college…

Q: In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

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 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: In a given year 2,103,001 males and 2,325,160 females were born in a certain county. If a child is…

A: Number of males = 2103001 Number of females = 2325160 Total number of child = 2103001 + 2325160 =…

Q: Airlines report that 45% of its flights are on time.  In a random sample of 80 flights, what is the…

A: A random variable X is said to follow a binomial distribution with parameters 'n' and 'p' ( where n…

Q: A survey of families revealed that 58% of all families eat turkey at holiday meals, 44% eat ham, and…

A:

Q: In a recent poll of voters, 20% were displeased with both candidates. If 3 people were picked at…

A: Let x is random variable where people like candidates, and n is total number of trial.Given:20%…

Q: A survey reports that 53% of college students use Google as their search engine.  If 100 students of…

A:

Q: In testing a certain kind of truck tire over rugged terrain, it is found that 39% of the trucks fail…

A: Given : Let X : Number of trucks have blowouts  p : 0.39 ( Probability of trucks fail to complete…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 34…

A:

Q: Thirty-eight percent of all shoppers at a large department store are holders of the store’s charge…

A: It is given that, thirty-eight per cent of all shoppers at a large department store is holders of…

Q: In a large population, 71 % of the people have been vaccinated. If 5 people are randomly selected,…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.