The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 19 candidates. Eight of the candidates are members of the debate team. (a) What is the probability that all of the offices are filled by members of the debate team? (b) What is the probability that none of the offices are filled by members of the debate team? (a) P(all offices filled by debate team members) = (Round to three decimal places as needed.) (b) P(no offices filled by debate team members) =| (Round to three decimal places as needed.)

Q: recent pull of 500 residence and a large town found that only 36% were in favor of a proposed…

A:

Q: A committee of 4 is being formed randomly from the employees at a school: 4 administrators, 30…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: In the marketing division of a particular company, there are 65 part-time employees and 33 full-time…

A: From the provided information, There are 65 part-time employees and 33 full-time employees. Total…

Q: A law firm has nine senior and four junior partners. A committee of three partners is selected at…

A: Here given,Law firm has 9 senior and 4 junior partners.Total partners = 9+4Total partners =13Sample…

Q: forty percent of consumers perfer to purchase electronics online.  you randoml select 8 consumers.…

A: Let X be the number of consumers who prefer to purchase electronics online. Then, for given data:…

Q: DESA secretariat receives, on average, 3 calls per hour on its general office number from members…

A:

Q: n a large population, 55 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: n the game of blackjack played with one​ deck, a player is initially dealt 2 different cards from…

A: The probability that the being dealt a blackjack hand is obtained below: The total numbers of cards…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

A:

Q: committee has thirteen members. There are two members that currently serve as the​ board's chairman…

A: Solution: Given data A committee has thirteen members Therefore  total members = 13 2 = members…

Q: A cafe´ serves four types of bread roll, and each roll contains one of four fillings. The…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: At a small college, (1)/(3) of all of the students are vegetarians. There are 5 students in line at…

A:

Q: Of the cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4% have…

A: Given that , cartons produced by a company, 3% have a puncture, 5% have a smashed corner, and 0.4 %…

Q: At a local college,  69  of the male students are smokers and  621  are non-smokers. Of the…

A: To solve this problem, we need to find the probability of selecting a non-smoker male student and a…

Q: A physics class has 50 students. Of these, 18 students are physics majors and 16 students are…

A: From the given information, total number of students n(S) = 50. Number of physics majors n(Physics)…

Q: 10 students are in a row and randomly assigned numbers 1-10.  (a) What is the probability that…

A: 10 students are in a row and randomly assigned numbers 1 - 10.We are asked to find,(a) the…

Q: In a certain city district, the need for money to buy drugs is stated as the reason for 63% of all…

A: Solution-: Given: n=5,p=0.63 (Or 63%) Our aim to find, (a) P(X=2)=? (b) P(X≤3)=?

Q: In a statistics class of  35 students, there were 10 men and 25 women. Six of the men and seven of…

A: Note:Thank you for the question. As your question has more than 3 parts, according to our policy, we…

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: A secretary makes 2 errors per page, on average. What is the probability that on the next page she…

A: Given: Average number of errors per page is  λ=2

Q: In a large school, it was found that 71% of students are taking a math class, 73% of student are…

A:

Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

Q: Naval intelligence reports that 6 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 8…

A: Hyper geometric distribution: In a population with N objects, M be the number of success event. A…

Q: In a survey of 1461 ​people, 976 people said they voted in a recent presidential election. Voting…

A: Given Information: Sample size n=1461 Out of which x=976 people said they voted in a recent…

Q: Five of the eight students are from Middle Georgia State College. What is the probability that all…

A: According to the provided information, eight college students have applied for the interview. Four…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: 19 freshmen, 19 sophomores, 15 juniors, 18 seniorsTotal=71

Q: The result of a mathematics course shows that 85% of the students who fail in tests also fail in the…

A: We have to find given probability..

Q: In a large population, 68 % of the people have been vaccinated. If 4 people are randomly selected,…

A:

Q: 8-letter words, with or without meaning, are created by using the letters of "MERCEDES". Blank #1:…

A: Given information Word “MERCEDES” M -1, E-3, R -1,C-1,D-1,S-1

Q: A committee of 4 is being formed randomly from the employees at a school: 6 administrators, 38…

A: Number of administrators = 6 Number of teachers = 38  Number of staff = 5  Total number of employees…