A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the probability that none are independents if 10 are selected at random?

Q: A sixth grade class has 30 students. 15 of those students play baseball, 18 play basketball, and 10…

A: As per the rules of probability, PA∪B=PA+PB-PA∩B, where PA∪B denotes either A or B or both. PA ∩B…

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

A: According to the given information, we haveProbability, p = 70% = 0.70Sample size, n = 8

Q: In a secondary school, 58% of students who is studying in an art course have purchased a drawing…

A: We have to find the probability that at least 90 of them have purchased a drawing board..

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: Out of a class of 30 students, there are 16 students who study Latin, 21 who study German, and 7 who…

A: Given,no.of students who study Latin(L)=16no.of students who study German(G)=21no.of students who…

Q: A poll is given, showing 45% are in favor of a new building project. If 9 people are chosen at…

A: Given data,p=45%=0.45n=9P(X=4)=?

Q: A poll is given, showing 30% are in favor of a new building project. If 8 people are chosen at…

A: The information provided in the question are as follows :- Proportion of people in favor of a new…

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A:

Q: Among the adults in a large city, 34% have a college degree. A simple random sample of 100 adults is…

A:

Q: In a statistics class, there are 18 male and 10 female students; 6 of the females are from the…

A:

Q: In a small private​ school, 6 students are randomly selected from 14 available students. What is the…

A: no of ways selecting r items from n is C(n,r)

Q: A poll is given, showing 50% are in favor of a new building project. If 8 people are chosen at…

A: We have to find given probability.

Q: Eight percent of Americans have a master’s degree. If five Americans are selected at random, what is…

A: Let X represent random variable   n=5 p=0.08   X~ binomial (5, 0.08)

Q: A poll is given, showing 50% are in favor of a new building project. If 9 people are chosen at…

A:

Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

Q: 75% of the students are commuters, 45% are female, and 30% are female commuters. If selected at…

A: Consider the following events, C=selected student is a commuterF=selected student is a female Given…

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

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

Q: A small voting district has 90 female voters and 80 male voters. A random sample of 10 voters is…

A: Given, No. of Female voters = 90 No. of male voters = 80 Total voters = 90+80 = 170 Random sample of…

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: A poll is given, showing 40% are in favor of a new building project. If 9 people are chosen at…

A:

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: suppose we select one card from a standard deck of 52. what is the probability of selecting a club?

A: given data select one card from a standard deck of 52 cards. p(selecting club) = ?

Q: At a car manufacturing plant, 10% of cars have some sort of defect when they come off the line. If…

A:

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: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: The staff at a small company includes: 2 secretaries, 13 technicians, 6 engineers, 4 executives and…

A:

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

A:

Q: A financial services committee had 60 ​members, of which 10 were women. If 9 members are selected…

A:

Q: The athletic department of a school has 16 full time coaches, and 4 of them are female. The director…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A word consists of 9 letters; 5 consonants and 4 vowels.Three letters are choosen at random. What is…

A:

Q: 53% of all Americans have at least some college education. Choose 7 Americans at random. What is the…

A: Given that 53% of all Americans have at least some college education. Hence probability that a…

Q: About 10% percent of workers (ages 16 years and older) in the United States commute to their jobs by…

A: The objective of this question is to find the probability that exactly four out of eight randomly…

Q: The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 6 dancers. If the…

A: Given that, There are 4 instrumentalists There are 10 singers There are 6 dancers. The probability…

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.