a class of 25 statistics​ students, 7 of the 25 are graduate students. If four students are being chosen from this class to be on a​ committee, what is the probability that exactly three of the four students chosen are graduate​ students? ​(Round your answer to three

Q: A group of 15 undergraduate and 15 graduate students are in a room. If 10 of the 30 students are…

A:

Q: In a country, 80% of the graduates are citizens,65% of the citizens graduates are employed while…

A:

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

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

Q: In a large population, 58 % of the people have been vaccinated. If 4 people are randomly selected,…

A: It is given that n = 4 and p = 0.58.

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: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: In a large population, 55 % of the people have been vaccinated. If 5 people are randomly selected,…

A: Given information- We have given a problem of binomial distribution. We have given that in a large…

Q: A western city has 20 police officers eligible for promotion. Eleven of the 20 are men. Suppose only…

A: Q14. In this situation the hyper geometric distribution is appropriate to use. The probability…

Q: From a group of 9 boys and 12 girls, a committee of 4 students is chosen at random. a. What is the…

A: Given: 9 boys 12 girls Total = 12+9 =21 students

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

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

A:

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

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: Of the people who fished at Clearwater Park today, 40 had a fishing license, and 10 did not. Of the…

A: Given          Clearwater park= 40 people license                                and 10 people no…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: What is the probability that a student chosen randomly from the class does not have an A?

A: The given information can be described as   Male Female Total A 3 12 15 Not A 2 4 6   5 16…

Q: Among a company's employees, suppose that 65% like the work that they do for the company, 80% like…

A:

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

A: From the provided information, 33% of the physics majors up along to ethnic minorities (p) = 0.33…

Q: 8. In a recent poll, 23% of the respondents supported candidates A, 19% supported candidate B, 13%…

A: (8) Given: There are 4 possible outcomes: Candidate, Candidate B, Candidate C, Undecided. Number of…

Q: A bag of 40 marbles contains 17 marbles with red on them, 13 with blue on them 15 with green on…

A:

Q: At a local CVS pharmacy, 85% of the customers have a CVS card. In a random sample of 5 customers,…

A: The provided information is: Probability of a Customer would have CVS card (p)=0.85 Consider that X…

Q: Suppose that an employer plans to hire four people from a group of nine equally qualified people of…

A: Total number of candidates = 9, minority candidates = 3.

Q: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coins with…

A: In a box, there are 3 fair coins, 2 special coins with heads on both sides and 5 special coinswith…

Q: In a class of 25 students, 3/5​ of the class are boys, 2/5of the class have ​blonde hair, and 1/5​…

A: We have to find given probability.

Q: A technician is launching fireworks near the end of a show. Of the remaining twelve fireworks, five…

A:

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

A:

Q: According to ctia, 41% of all US households are wireless-only households. In a random of 20…

A: Given, random of 20 households i.e., n=20 p=41%=0.41 q=1-p=1-0.41=0.59

Q: A committee of 4 people is to be randomly selected from a group of 9 people, including Pedro.  The…

A: It is given that, There is a group of 9 people including Pedro.  We have to form a committee of 4…

Q: In a certain high school, 54% of the students are female, 46% of the students are male. If you…

A: Given data   In school 54% are female students and 46% are male students you select one student at…

Q: Given a class of 12 girls and 10 boys please answer these questions containing to these questions…

A: There are 22 students in a class out of which 12 are girls and 10 are boys.

Q: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…

A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…

Q: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

A:

Q: At a college, 60% of the students are women. If we select 7 students at random, what is the…

A:

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: In a country, 80% of the graduates are citizens,65% of the citizens graduates are employed while…

A: Solution: Probability P(E)=( Number of favourable outcomes n(E)) ÷ ( Number of total possible…

Q: If 5 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that at most…

A: Introduction : An ordinary deck of 52 playing cards contain 12 face cards. Remaining 52–12=40 are…

Q: Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: if two students are randomly chosen from a group of 3 boys and 3 girls, what is the probability that…

A:

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Probability is calculated by dividing the number of favorable event divided by the total sample…

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

A: Obtain the probability that the fourth student selected will be a male.   The probability that the…

Q: In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls…

A: Probability is the chance of occurrence of each observation can involve in the sample with equal…

Q: There are 40 pairs of gloves in Bills’ glove basket, but the 80 individual gloves are completely…

A: a) Individual B has only one favorite pair as mentioned in (a) question.  Total gloves = 80  Total…

Q: In a certain country, the true probability of a baby being a girl is 0.488. Among the next six…

A: Probability of a baby being a girl is 0.488. Probability of a baby being a boy is 0.512.

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having a…

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.