A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the probability that none are independents if 10 are selected at random.

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

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

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

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: 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 zoo has a collection of 400 flamingos. 180 of these flamingos are red. One day, a fence blew down…

A: Given : A zoo has a collection of 400 flamingos. 180 of these flamingos are red.

Q: John has four bottles: cola, root beer, ginger, orange drinks. He chooses three of these for a…

A: Let, C=cola R=root beet O=orange    Sample set={CR, RC, CO, OC, RO, OR}  n(S)=6

Q: In an assembly of 200 people there approximately 2% of them are civil engineers. If we randomly…

A: Givenn=200p=0.02x=no.of people being civil engineersx~Binomial(n=200,p=0.02)P(X=x)=Cxn px (1-p)n-x…

Q: In a Toyota factory, 137 out of 129,000 cars have faulty brakes. If 50 cars checked at random, what…

A:

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

A:

Q: Suppose that 84% of students in a college have a smart phone. If you select three students at…

A: sample size(n)=3 p=0.84 Let "x" be no.of students have a smart phone x~Binomial(n=3,p=0.84)…

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

A:

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: In a nearby​ town, 68​% of adults have health insurance. If 7 adults are randomly selected from the​…

A: Here p =P(having health insurance) = 68% =0.68

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20%                                         p =…

Q: Suppose that you have 9 coins: 3 dimes, 4 quarters, and 2 nickels. Two coins are selected at random.…

A:

Q: A campus radio station surveyed 500 students to determine the types of music they like. The survey…

A: A campus radio station surveyed 500 students. 207 like rock, 163 like country, and 119 like jazz.…

Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

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: If you select one card at random from a standard deck of 52 cards, what is the probability that the…

A:

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

A:

Q: If 15% of students like tennis and I expect 500 new students on campus what is the probability that…

A: Probability that students like tennis, p=15% = 0.15 q=1-p= 1-0.15= 0.85 Sample size n=500…

Q: A city council consists of 4 democrats and 6 republicans. A committee of 3 to study transportation…

A: We have given that Number of democrats = 4 Number of republicans = 6 Total number= 4+6 = 10

Q: Alice has 8 pennies, 4 nickels, 2 dimes, and 6 quarters in her pocket. If one coin is drawn…

A:

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

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

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

A: It is an important part of statistics. It is widely used.

Q: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

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

A:

Q: A bag of jellybeans has 7 red, 12 black, and 14 blue. We select a jellybean, eat it (do not replace…

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: Paul has 6 black pens, 3 red pens, and 14 pencils in his desk drawer if he reaches into his desk…

A: 6 black pens3 red pens14 pencils __________23 total itemsselect one at random. P(grab a pen) = ?

Q: In Bayside County, 45% of voters are registered Democrats. If three voters are selected at random,…

A: Given, P = 0.45 n = 3 x = 3 Here we use binomial distribution

Q: Approximately 11% of students at BCC are Criminal Justice majors. If you take a simple random sample…

A: Let X= number of students who are Criminal Justice majors the probability of a student being…

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.