210 students were asked whether they want to go to a water park or a roller skating rink for a class party. 50 students are girls who want to go to the water park. • 45 students are girls who want to go skating. 60 students are boys who want to go to the water park. Water park Skating Total 100-45=55 60+55 Вoys 60 50+45-95 45 Girls 50 210 - 110 65 + 50 =110 Total 210 = 100

Q: In a survey of 143 pet owners, 86 said they own a dog, and 55 said they own a cat. 42 said they own…

A: The total pet owners is n = 143.

Q: The University of Montana ski team has twelve entrants in a men's downhill ski event. The coach…

A: There are 12 entrants in a ski event and from these entrants first, second and third places to go to…

Q: In a loan database, there are 31 loans to clients with 16 years of business experience. Also, there…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: nrollment data shows 33.1% of students enrolled at College in Spring 2015 self-identified as…

A: Let total number of students were enrolled at College in Spring 2015 =x % of students enrolled at…

Q: There are |10 people at a meeting. They each shake hands with everyone else. How Many handshakes…

A:

Q: In a survey of 142 pet owners, 77 said they own a dog, and 72 said they own a cat. 38 said they own…

A: If A and B be two subset of a universal set U . Then if n(A) denote number of element in A then we…

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letters (a) is…

A: # Given Letters: FGHIJKL no of three letters words made if  1): repetition is allowed 2): if…

Q: Yesterday, 15 employees in an office were absent. If these absentees constitute 30% of the…

A:

Q: In a loan database, there are 50 loans to clients with 18 years of business experience. Also, loans…

A: Introduction: The formula for the union of two sets is given by, nA∪B=n(A)+n(B)-n(A∩B)

Q: There are 24 letters in the Greek alphabet. How many fraternities may be specified by choosing three…

A: There are 24 letters in the Greek alphabet. a). The number of fraternities specified by choosing…

Q: There are 13 teachers and 8 researchers working in a Department. A committee of 5 people needs to be…

A: From the provided information, Total teachers = 13 Total researchers = 8

Q: In a class of 35 students. 17 have taken mathematics, eight have taken mathematics but not…

A:

Q: I a centain dish network, seventeen channels are devoted to latino programming and ten are devoted…

A: The formula for A∪B can be defined as A∪B=A+B-A∩B .

Q: In a survey of 114 pet owners, 70 said they own a dog, and 15 said they own a cat. 11 said they own…

A: Given Information: In a survey of 114 pet owners. 70 said they own a dog 15 said they own a cat 11…

Q: In a survey of 164 pet owners, 53 said they own a dog, and 93 said they own a cat. 27 said they own…

A: Let A - people who own dogs B- people who own cats U- denote for total people surveyed Total number…

Q: In a loan database, there are 20 loans to clients with 20 years of business experience. Also, there…

A:

Q: License plates are made using 3 letters followed by 3 digits. How many plates can be made if…

A:

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: In how many ways can 12 people occupy the circular table in a mini theatre

A: given, number of people can occupy the circular table in a mini theatre is 12

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: In a loan database, there are 66 loans to clients with 15 years of business experience. Also, there…

A: lets say number of loans to clients with 15 years of business experience = A number of loans to…

Q: 10 - Which statement is correct? Please select one.

A: a) In chord method, we exchange the graph of a function with a chord . b and c) The newton method…

Q: There are 25 students qualified to join the dance contest. In how many ways can 15 students be…

A: Introduction: A combination is a mathematical approach for calculating the number of potential…

Q: 1. O Score paling 466/ Most score 466 2. O Score paling sedikit 316,5/ Score at least 316.5 3. O…

A: Given that.   X~N( μ , ?^2 )   μ=200     , ?=50   Z-score =( x - μ )/?

Q: There are 87 people protesting the destruction of the rain forests. There are 37 males, 21 of whom…

A: Given: Total Number of people protesting the destruction of the rain forests = 87 Also, Given: Total…

Q: Out of the 13 students, 4 of them are members of SGA. If a committee 6 is chosen, how many ways can…

A: No of ways to form a committee with 0 SGA member = (13-4)C6 = 9C6 = 84. No of ways to form a…

Q: A school staff meeting had 25 teachers in attendance, 84% of whom were first-year teachers. How many…

A: Given,no.of teachers in the meeting=25and 84% of whom were first year teachers.

Q: SMA - Laguna SMA - Bulacan SMA - QC 51 23 56 45 43 76 33 23 74 45 43 87 67 45 56 43 33 66

A: Given data is: SMA-Laguna SMA-Bulacan SMA-QC 51 23 56 45 43 76 33 23 74 45 43 87 67 45…

Q: There are 56 students in a speech contest. Yesterday 1/4 of them gave their speeches. Today 2/7 of…

A:

Q: In a survey of 96 pet owners, 68 said they own a dog, and 11 said they own a cat. 6 said they own…

A:

Q: A committee’s chairperson and secretary must telephone the other 7 members about a change in the…

A: If you have n objects, then the number of different ways that they can be arranged is given by n!.…

Q: candidate receives 62% of the vote in an election and there are 1603 votes recorded. What is a…

A:

Q: 3. License plates are made using 2 letters followed by 3 digits. How many plates can be made, if a)…

A: Given that  License plates are made using 2 letters followed by 3 digits. The license plate contains…

Q: attend

A: Suppose, 100x students attend the college. So, 56% students are from in-state implies, the number of…

Q: In a survey of 57 pet owners, 17 said they own a dog, and 16 said they own a cat. 7 said they own…

A: In the Given data, Survey Done for Pets, total Pet owners = 57.

Q: 78% of households have a computer (laptop or desktop) and 75% have a hand-held device (tablet or…

A:

Q: The membership of a social and political group for bisexuals is 65% women. Of the women, 56% are…

A: Given: N=1000 Given 65% of members are women,  Thus, the total number of women is 0.65*1000=650.…

Q: 4. An expedition team consisting of 10 members to be chosen from a group of 4 teachers and 12…

A:

Q: There are 94 people in a​ room, half of whom​ don't speak to the other half. Assume that if they​…

A: Given: Number of people in a room = 94

Q: A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An of 3 members is…

A:

Q: The Greek alphabet has 24 letters. How many fraternity names can be made using 2 or 3 letters if: a)…

A: We have to solve it by permutation and combination.

Q: In a loan database, there are 10 loans to clients with 15 years of business experience. Also, there…

A: Denote A: having 15 years of experience B: having graduation  n(A): number of loans to event A.…

Q: Three boys have the same number of blue toy cars. 1 of Nelson's toy cars and 4 4 of Ted's toy cars…

A: First we will form the equation according to the given statements then solving the equations will…

Q: n a sample of 600 college students, 87.2% said they graduated from high school. How many of the…

A: Given, In a sample of 600 college students 87.2% said they graduated from high school Number of…

Q: 1- In how many different ways, 8 seats can be occupied by 3 students? э)О 336 5)O 95 20040 =)O 210…

A:

Q: The markup on a new van should be 30% based on selling price. If the seller palid $25,450 for one,…

A: given that 30% based on selling price seller paid $25450

Q: 1. There are 90 students in a speech contest.  Yesterday,13 of them gave their speeches.  Today,35…

A: Given that, there are 90 students in a speech contest 13 of them gave their speech the day before…

Q: There are 125 students in a class. At least how many students came from the same state if there are…

A: There are 125 students and 16 states We divide 125 by 16 to find the least number of students from…

Q: 8. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A: Given information: Number of guests (n) = 25  Number of handshakes for each guest = n-1Number of…

Q: The number of ways can a teacher choose one or more students from six eligible students is 63. False…

A: According to the given information, it is required to tell whether the given statement is true or…

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.