Four sales representatives for a company are to be chosen to participate in a training program. The company has eight sales representatives, two in each of four regions. In how many ways can the four sales representatives be chosen if (a) there are no restrictions and (b) the selection must include a sales representative from each region? (c) What is the probability that the four sales representatives chosen to participate in the training program will be from only two of the four regions if they are chosen at random?

Q: A sweety jar contains 15 jelly babies, of which 8 are red and the rest are Green. Suppose you…

A: Let A be the event of getting  GREEN jelly babies and B be the event of getting RED jelly babies. By…

Q: A school is offering two extracurricular classes, one in Playing Chess and the other in Painting…

A: Given information: Number of students is 350. 58 students in Playing chess class. 44 students in…

Q: planning to lay off 8employees.What is the probability that the company decides to lay off…

A:

Q: 60% of the used cars in the local market of Suhar are from local agencies, and the remaining are…

A: Let W = Cr is white in color. L = Car is from local agencies N = Car is from neighboring country.…

Q: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

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

A:

Q: In a cooler containing twenty-four beverages, there are seven beverages with the word "Coke" on the…

A:

Q: A class has 28 students enrolled, 18 females and 10 males. 6 of the females and 4 of the males are…

A: a. Total number of students in the class is 28. If 2 students are randomly chosen from the class one…

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: 2 Universal Temps is recruiting for people to work at 5 call centres, and there are 10 applicants.…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In a certain residential suburb, 60% of all households get internet service from the local cable…

A: Here the given information,Let A: households get- internet service from the local cable company.…

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: A committee of 5 members is to be chosen from 9 female students and 6 male students. How many ways…

A: It is given that Total students = 9+6 = 15 Number of committee members = 5 Note : Since you have…

Q: A Land Scapingcompany with 24 employees in their central office, 6in their north office, and 10 in…

A: Hi, there! As  per the multiple question rule, we are allowed to answer first question. Kindly…

Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: 40 people were asked in a survey involving brands A, B, C of certain product. 6 people use all three…

A: We have to draw ven diagram and then we have to find no. Of people not use product at all.

Q: Three balls are selected from a bag contains 5 black, 4 red and 3 blue balls. What is the…

A:

Q: The staff at a small company includes: 2 secretaries, 13 technicians, 6 engineers, 4 executives and…

A:

Q: A batch of parts contains 80 parts from Batangas supplier of engine and 120 parts from as supplier…

A: Given: Parts from Batangas supplier of engine = 80 Parts from Bulacan supplier of engine = 120 Total…

Q: A shipment contains 20 computer chips, of which two are defective. If a person selects 10 chips at…

A:

Q: .A basket contains 4 apples, 3 pears, and 2 peaches. a) From this basket, you select six pieces of…

A: Basket contains 4 apples, 3 pears, 2 peaches=9 fruits.  Probability of selecting 2 apples out of 4…

Q: A company has a plant in China and Japan. 70% of the employees work in China, and 30% work in Japan.…

A: China Japan Total Employees 70 30 100 Involved in accident 3 5 8 Total 73 35 108

Q: A class consists of 40 psychology majors, 30 criminal justice majors, and 30 nursing majors.  If one…

A: Given, A=Psychology major n(A)=40 B=Criminal justice major n(B)=30 C=Nursing major n(C)=30

Q: 12) A bag contains 200 balls that are either red or blue and either dull or shiny. There are 55…

A: 12) Let us denote the given probabilities as follows P(S) - the probability of drawing a shiny…

Q: Six new employees, two of whom are married to each other, are to be assigned six desks that are…

A: We can consider the couple as one employ, then there are effectively 5 desks to assign. Probability…

Q: 1. A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A:

Q: Four sales representatives for a company are to be chosen at random to participate in a training…

A: Combination Rule: The arrangement of r objects from n different objects is given by:

Q: class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are…

A: F denote Female M denote Male C denote Caviteno Total number of students = 30…

Q: At a local high school, 30% of the students are on a school sports team, 25% take at least one…

A: Solution: 7. Let A be the event that the student is on a sports team and B be the event that the…

Q: The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each…

A: Given problem Given that The chess clubs of two schools consist of, respectively 8 and 9 players.…

Q: A factory production line is manufacturing bolts using three machines, A, B and C. Of the total…

A:

Q: In a group of 12 international referees, there are three from Africa,four from Asia and five from…

A:

Q: 2. In a city 30% of the houses and 60% of the condominiums use natural gas for heating. 65% of the…

A: Solution

Q: A work crew for a building project is to be made up of 2 craftsmen and 4 laborers selected from a…

A: a). The required number of different combination to select 2 craftsmen and 4 labourers from a total…

Q: A jar holds 25 cookies, 8 are chocolate-chip cookies, and 17 are brussel-spout-with-turnip-chips…

A: We have to find correct answer ...

Q: The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each…

A: Introduction:The first school has 8 players in their chess club, out of which, 4 are to be…

Q: A University wishes to hire 4 faculty members for its newly established department. They have to…

A: A University wishes to hire 4 faculty members for its newly established department. They have to…

Q: On the weekend 14 friends get together to play a football game with seven players per side. If in…

A:

Q: (6) A local university offers free flu shots to its employees. Of the eligible employees, 75% have…

A: Given that - A local university offers free flu shots to its employees. Of the eligible employees,…

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: The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have type B…

A: Given data: Number of people have blood group A=40 Number of people have blood group B=75 Number of…

Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: of the 300 grade 10 students of a certain high school, 120 joined mathematics club, 115 joined…

A:

Q: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13…

A: Three candy are taken from a bag. Concept Used: Formula used to find the probability is As given…

Q: The sales department at a certain company consists of four ​people, the manufacturing department…

A: The sales department at a certain company consists of four people, the manufacturing department…

Q: A factory production line is manufacturing bolts using three machines, A, B and C. Of the total…

A: Given information: Probability of manufacturing of bolts using machine A, P(A)=0.25    --- (1)…

Q: A committee is to consist of a chair, three hagglers, and five do-nothings. The committee is formed…

A: As per bartleby guidelines, for more than three subparts, first three needs to be solved. Part (1)…

Q: The mathematics department of a college has 6 male​ professors, 11 female​ professors, 10 male…

A: According to the given information, we have   Professors Teaching assistants Total Male 6 10 16…

Q: The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each…

A: Given that - The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members…