In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

Q: How many choices are there for a person to check out 4 CDs from a library that has 25 CDs of his…

A: Given : n = 25 x = 4

Q: A survey was given to a group of 10,000 students to determine whether they wanted an outdoor…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many…

A: Given data There are 15 players on a volley ball team. only 6 players can be on the court for a…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: Kara did a survey to determine to study the types of pets that students in her school had. She…

A:

Q: A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel,…

A:

Q: A student is to answer 12 out of 15 questions on an exam. How many choices does he have?

A: The total number of questions in the exam is 15. The student has to answer 12 out of 15 questions.…

Q: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

A: A small high school has 30 seniors, 20 juniors, and 10 sophomores. If 3 students are chosen from…

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: In a survey of middle school students, 70% play basketball and 40% play basketball and football. Of…

A:

Q: Before doing the ordering for a company barbecue, the manager took a poll to find out how many…

A: Given people who eat corn = 39 people who eat ribs = 57 people who eat hamburgers = 65 people who…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: A particular theater has 48 rows of seats. An usher monitors rows 17 through 32. He notices that the…

A: Given that, A particular theater has 48 rows of seats. An usher monitors rows 17 through 32. He…

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: he manager of a theatre want s to know whether the majority of his patrons are adults or children.…

A:

Q: bookstore found out that 23% of their customers buy a book, 34% of their customers buy 2, and 39%…

A: Given : A bookstore found out that ; 23% of their customers buy 1 34% of  customers buy 2 books 39%…

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: At a local restaurant, a dinner special consists of choosing a salad, an entree and a dessert. If…

A: If there are 3 choices for salad, 6 choices for the entree, and 4 choices for dessert. At a local…

Q: Charmaine asked 8 students how many courses they have taking so far at her college. Here is the list…

A: Solution: The given data is 13, 20, 8, 17, 22, 4, 15 and 18.

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the three letters A, B, C. How many…

A: There is a total of 3 letters A, B, and C. We want to pick 2 letters without replacement.  If the…

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: Sally is interested in finding out if the political party affiliation of Americans who are…

A: Given: Probability of democrat party is, P(D)=29.5%=0.295. Probability of republican party is,…

Q: Among 120 pupils, it came out that 40 like both biscuits and toffees, 16 like neither and twice as…

A: Given: total no of people=120 No. of people who like neither biscuits and toffees=16 No. of people…

Q: In a survey conducted by Helena, a financial consultant, it was revealed that of her 400 clients,…

A:

Q: You are forming a team of 4 from a set of 7  players. The order of the players in the team does not…

A: Given that there is a total of 7 players. We will select a group of 4 players.  Since it is a group,…

Q: In row 2 there are 28 seats and in row 4 there are 44 seats. What is the number of seats in row 10?

A: The given data in the question is converted into a table

Q: A recent survey by a local radio station shows that 3 of 8 listeners like a new song while 1/4 hate…

A:

Q: A sock drawer contains 3 black socks, 4 blue socks, and 7 brown socks. If you pick socks from the…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: A company has 14 employees, and wants to create a team of 4 employees to work on a new project. The…

A: Combination formula is given by

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: Suppose in two local counties, the locals have toad collecting contests. In the two largest,the…

A: The formula for finding z-score is shown below:

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

A:

Q: A survey of 80 people finds: 42 like Metallica. 27 like Queen. 5 like Nickelback. 15 like both…

A:

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

Q: In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both…

A:

Q: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: If the number of smokers in a sample of 40 students selected from university A is 14 and the number…

A: Given data,For University An1=40x1=14p1=x1n1 =1440=0.35For University Bn2=380x2=84p2=x2n2…

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: As a television executive, you have been given 19 shows to choose from to run during your prime time…

A:

Q: If there were a 1000 runners in a race, how many of them got a z score of 3 or better for the race

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: A company has 12 male and 11 female employees. company needs to nominate 2 men and 2 women for the…

Q: in a mall survey, 200 consumers were asked where they did their gift shopping; Macy’s, JC Penny’s,…

A: Total consumer = 200 consumers Total number of people who shopped at least at two different stores =…

Q: From a group of 17 smokers and 23 ​nonsmokers a researcher wants to randomly select 6 smokers…

A: We have to find no. Of ways to select people.

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.