The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice presádent and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely. (b) What is the probability that the marketing director is in the leftmost position?

Q: A very large pool consists of 26% Democrats, 33% Republicans, and the rest independents. What is the…

A: X~ Binomial (n , p)  p = 1 -.26-.33 = 0.41 ____________________________

Q: The composition of the Senate of the 111th Congress was 41 Republicans, 2 Independents, and 57…

A: The number of ways to select three senators is, Thus, there are 161,700 ways to select three…

Q: In a country, 80% of the graduates are citizens,65% of the citizens graduates are employed while…

A:

Q: In a group of students, 70% are taking an English class and 19% are taking a Chemistry class. Among…

A: Given that, P(E)= 70% = 0.70 P(C)= 19%= 0.19 P(C/E)= 7%= 0.07 P(C Ω E)=?

Q: There are 32 applicants for a job in a finance consultancy and auditing firm for 20 vacant posts. Of…

A: Given that  Total applicants = 32  Vacant posts = 20 Women = 10 Men = 22

Q: 5 green marbles, 7 red marbles, and 1 yellow marble are placed into a bag. If one marble is randomly…

A:

Q: A study undertaken by the Miami-Dade Supervisor of Elections revealed that 44% of registered voters…

A: Solution: Let us denote D for Democrats, R for Republicans O for Others We have given, Given:…

Q: A very large pool consists of 28% Democrats, 32% Republicans, and the rest independents. What is the…

A: Given data: The given percentage of democrats is D=28%. The given percentage of republicans is…

Q: A bag contains 3 white balls and 5 black balls. If two balls are drawn in succession without…

A:

Q: From a box containing six black plates, eight white plates and ten blue plates, one plate is drawn…

A: Solution

Q: Box A contains 5 red balls and 4 white balls. Box B contains 6 red balls and 5 white balls. If one…

A: The question is about Bayes' theorem Given : Box A : No. or red balls = 5 No. of white balls = 4 Box…

Q: Suppose that 70% of a town’s population have brown eyes, 40% have black hair, and 30% have both…

A: We have given  that population have brown eyes = 70% =0.70 population have black hair = 40% = 0.40…

Q: At a local CVS pharmacy, 85% of the customers have a CVS card. In a random sample of 5 customers,…

A: The provided information is: Probability of a Customer would have CVS card (p)=0.85 Consider that X…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

A:

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. If the selection is made…

A: The total number of women is 9.The total number of men is 6.The number of people selected at random…

Q: From a lot of 15 missiles, 5 are selected at random and fired. If the lot contains 3 defective…

A:

Q: From a bag containing 6 white balls, 3 black balls, and 13 red balls, two balls are drawn at random.…

A: To find: The probability that both the ball being red. Given: There are 6 white balls, 3 black…

Q: A car rental agency at a local airport has available 5 Fords, 7 Chevrolets, 4 Dodges, 3 Hondas, and…

A: Given:  No of fords=5 No of chevrolets=7 No of Dodges= 4 No of Honda =3  PNonof Toy Toyota=4  Total…

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: A very large pool consists of 22% Democrats, 39% Republicans, and the rest independents. What is the…

A: Given, P(Democrats) = 0.22, P(Republicans) = 0.39, P(independent) = 1-0.22-0.39 = 0.39

Q: Suppose that the New England Colonials baseball team is equally likely to win a game as not to win…

A: Obtain the probability that exactly 4 of those games are won by the Colonials.   The probability…

Q: It is known that 40% of the students in a certain college are girls and 50% of the students are…

A: A : a student is a girl B : a student is above median height P(A) = 0.40, P(B) = 0.50, P(B|A’) = 2/3…

Q: 9. Out of 14 employees in a company, 8 are in the accounting department and 6 belong to the…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  PLZ REPOST FOR REMAINING Here use…

Q: A committee of 8 members is to be formed from a group of 8 men and 8 women. If the choice of…

A: Here , we have to form a committee of 8 members out of 16 people, including 8 men and 8 women . we…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 6% of…

A: It is given that P(football) = 0.06 P(basketball) = 0.70 P(football and basketball) = 0.04

Q: The general manager, marketing director, and 3 other employees of Company $A$ are hosting a visit by…

A: The probability of an event is given by, PE=Number of favorable outcomesTotal number of outcomes. It…

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

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

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: A bag contains 7 coins, of which 3 are fair; the remaining coin has a head on both sides. If a coin…

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: a. A box contains 20 “LAYS" snack packets, each packet is equally likely to be MASALA or FRENCH…

A: According to the Bartleby guideline only one question can be solved at one time, post the remaining…

Q: A family was randomly chosen from a set of families having four children. What is the probability…

A: From the given information. From the set of families having 4 children, a family was chosen at…

Q: Two marbles are drawn from a bag containing 5 yellow marbles, 3 green marbles, and 12 blue marbles…

A: We have given that 5 yellow, 3 green and 12 blue marbles.   Combination formula: C(n, r) = nCr =…

Q: A gambler places a bet on a horse race. To win, he must pick the top three finishers in order. Six…

A: Here Given  Total no of Horse= n= 6

Q: Seven white balls and five black balls, which are indistinguishable apart from color, are placed in…

A: Let,  Total number of balls in the bag(n) =12. S be the sample space. Then n(S) = Total number of…

Q: A homeowner selects six plans selected at random from a set of proposals drawn by his hired…

A:

Q: Of 350 workers surveyed in an industrial community, 65 worked in the lumber yard and 30 work in the…

A: Total number of worker surveyed in community is 350. The number of worker for yard is 65. The number…

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

A:

Q: One-fourth of the female freshmen entering a Virginia College are out-of-state students. If the…

A: Binomial distribution is given by

Q: In a country, 80% of the graduates are citizens,65% of the citizens graduates are employed while…

A: Solution: Probability P(E)=( Number of favourable outcomes n(E)) ÷ ( Number of total possible…

Q: Two cards are drawn at random from a deck of 52 cards without replacement. What is the probability…

A: Total number of cards = 52 Number of 2's = 4 Number of Ace = 4

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 9% of…

A: A n B=athletes play both football and basketball

Q: If the letters of the word SPECIAL are written in a random order,what is the probability that no two…

A: Given: provided word is SPECIAL

Q: A certain young lady is out to find a new boyfriend.  She knows from Wikipedia that 40% of all men…

A: Given: Percentage of men having black hairs= 40% Percentage of men having brown hairs= 30%.…

Q: A survey of athletes at a high school is conducted, and the following facts are discovered: 20% of…

A: Given: PFootball Player=0.20PBasketball Players=0.68PFootball & Basketball=0.07

Q: A printer has seven book-binding machines. For each machine, the table to the right gives the…

A: The Given table is as follows,

Q: If a committee of 5 senators are selected from the 100 members of the the U.S. Senate, what is the…

A: Given 100 members of US senate.Total states = 50.Total senates per state = 100/50 = 2The total…

Q: In a group of 36 university students, there are nine who are fluent in English, four in French and…

A: Obtain the probability that he is fluent in French and known to be fluent in English.   The…