Suppose that a certain college class contains 39 students. Of these, 26 are sophomores, 21 are English majors, and 9 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a sophomore and an English major? (b) Given that the student selected is a sophomore, what is the'probability that she is also an English major? Write your responses as fractions. (If necessary, consult a list of formulas.) 30 39 21 (b) 39

Q: There are 9 black balls and 9 red balls in an urn. If 3 balls are drawn without replacement, what is…

A: It is given that Number of black balls = 9 Number of red balls = 9 Total = 18

Q: Suppose a jar contains 12 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

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

Q: Suppose that 58% of all students on campus wear glasses. If two students are chosen at random, what…

A: Given that 58%  of all students on campus wear glasses. Sample size, n = 2

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

A:

Q: Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2…

A: Number of red marbles = 15 Number of blue marbles = 19 Total number of marbles = 34

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: A coin is loaded so that the probability of a head occurring on a single toss is 23. In four tosses…

A: here we will use Binomial distribution   A binomial distribution is simply the probability of a…

Q: In a class of 30 students, 15 students took a mathematics exam, 10 students took a biology exam and…

A: GivenTotal no.of students=30No.of students took mathematics exam=15No.of students took biology…

Q: We know that in a game of U.S. roulette, the probability that the ball drops into any one slot is 1…

A: Given : In a game of U.S. roulette, the probability that the ball drops into any one slot is 1 out…

Q: Suppose that the International University of Science and Management has 1100 female students and 900…

A: The probability that exactly 8 of the selected students are female is obtained below: From the given…

Q: Suppose that 52% of people own dogs. If you pick two people at random, what is the probability that…

A: Solution  :          Given that 52% of people own dogs By choosing two personat random, we have to…

Q: Suppose that 65% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that a certain college class contains 44 students. Of these, 19 are sophomores, 27 are…

A: Given, The event S is defined as the student is a sophomore and event E is defined as the student is…

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

A:

Q: Suppose 30 people are in a room. What is the probability that two of them share thesame birthday?…

A: It is given that 30 people are in a room then we have to find the probability that two of them share…

Q: Suppose a jar contains a total of 72 marbles. There are 11 red marbles, 21 blue marbles and 40 black…

A: From the provided information, Total marbles = 72 Red marbles = 11 Blue marbles = 21 Black marbles =…

Q: Suppose that 68% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the provided information, 68% of people own dogs.

Q: A box contains 24 different colored chips that are identical in size. Six are black, 4 are red, 9…

A:

Q: Suppose that 31% of students in a college have a smart phone. If you select three students at…

A: Obtain the probability that all three have a smart phone. The probability that all three have a…

Q: Suppose a jar contains 15 red marbles and 21 blue marbles. If you reach in the jar and pull out 2…

A: From the information, there are 15 red marbles and 21 blue marbles. Two marbles at random at the…

Q: There are 8 black bals and 6 red balis in an urn, If4 bals are drawn without replacement, what is…

A: Here Ball is not replaced after drawing  so We have to Use hypergeometric Model for this Scene  Here…

Q: A committee of 4 is being formed randomly from the employees at a school: 6 administrators, 36…

A:

Q: Suppose that you have a barrel with 7 apples and 8 oranges in it. If 2 fruits are selected, what is…

A: use formula : nCr=n!/(r!*(n-r)!)

Q: A box contains 24 different colored chips that are identical in size. Five are black, 9 are red, 8…

A: Provided information: Total number of chips = 24 Five are black Nine are red Eight are white Two are…

Q: Find the probability that one person selected at random from these 200 persons is student or is…

A: we have given table   Favor Oppose Neutral Total Faculty 23 19 15 57 Students 47 71 25 143…

Q: Suppose that a certain college class contains 36 students. Of these, 19 are freshmen, 23 are…

A: Solution: Let A be the number of student is a freshmen and B be the event that the students is a…

Q: Suppose that 32% of people own dogs. If you pick two people at random, what is the probability that…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: Suppose that 48% of people own dogs. If you pick two people at random, what is the probability that…

A: Given Information: 48% of people own dogs. So, if a random person is selected, then the probability…

Q: A bag contains 1 red marble, 1 blue marble, 1 green marble, 1 yellow marble, 1 purple marble, 1…

A:

Q: Suppose that 84% of students in a college have a smartphone. If you select three students at random,…

A: We have given that a Binomial distribution with parameter p=84%=0.84 and sample size n=3. The pmf of…

Q: Suppose that 4 people check their coats in a checkroom. If all claim checks are lost and the 4 coats…

A: From the provided information, There are 4 people. All people claim checks are lost and the 4 coats…

Q: Suppose a jar contains 19 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

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

Q: Assume that 6 women and 8 men work in a department at a Targe company, a committee of 5 people from…

A: We have to find the probability based on combination

Q: selected

A:

Q: Suppose that 16% of people own dogs. If you pick two people at random, what is the probability that…

A: Provided information is, 16% of people own dogs. Two people picked at random. The situation follows…

Q: Suppose a certain breed of piglets have a sex-ratio of 0.54 (that is the probability of  male…

A: Concept: By considering binomial probability we can solve this question. Given: Total number of…

Q: In a class of 80 students, 48 are girls and, of these, 22 are going to college. Of the 32 boys in…

A: The solution of the problem is given in the next step.

Q: If you selected two of these stocks at random, what is the probability that both the stocks in your…

A: Given that there are 10 stocks. We can select any 2 stocks in 10P2=90 ways.   Among those 10 stocks,…

Q: Assume that 6 women and 8 men work in a department at a large company, a committee of 4 people from…

A:

Q: Suppose that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are…

A: Given that  Number of white marbles = 5 Number of green marbles = 2 Number of red marbles = 1 Total…

Q: Suppose a jar contains 17 red marbles and 34 blue marbles. If you reach in the jar and pull out 2…

A: There are total (17+34)=51 marbles. We can pick any 2 marbles from 51 marbles in 51C2=1275 ways.…

Q: Suppose a jar contains 12 red marbles and 13 blue marbles. If you reach in the jar a pull out 2…

A: There are 12 red marbles and 13 blue marbles. Thus, there are 25 marbles in total.

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: Given that the jar contains marbles of color; 11 red 10 blue Hence we have 11 + 10 = 21 marbles in…

Q: (b) Among the 300 employees of a company, 240 are union members, whereas the others are not. If six…

A: Given Total number of employees in the company N = 300 Number of union members among the 300…

Q: Suppose 30% of Americans are satisfied with the state of the U.S. In a sample of 20 Americans, what…

A:

Q: Suppose a jar contains 19 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given :   19 red marbles   11 blue marbles     Total marbles =19+11                             =30…

Q: Suppose a jar contains 9 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

A:

Q: A committee of 4 is to be selected by lot from a group of 6 men and 4 women. What is the probability…

A:

Q: A committee of 3 is being formed randomly from the employees at a school: 5 administrators, 30…

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.