In a large metropolitan city, it is estimated that 35% of the population are vegetarians, 25% are vegans, and the remaining 40% are omnivores. If a local restaurant hosts a themed dinner night and invites 100 guests at random from this city, what is the probability that exactly 20 vegetarians, 15 vegans, and 65 omnivores will attend the event?

In a large metropolitan city, it is estimated that 35% of the population are vegetarians, 25% are vegans, and the remaining 40% are omnivores. If a local restaurant hosts a themed dinner night and invites 100 guests at random from this city, what is the probability that exactly 20 vegetarians, 15 vegans, and 65 omnivores will attend the event?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A biology quiz consists of 10 multiple-choice questions. 6 must be answered correctly to receive a passing grade. If each question has 5 possible answers, of which only one is correct, what is the probability that a student who guesses at random on each question will pass the examination?
In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What is the probability of selecting a white marble from a jar of marbles?
In a particular community, 70% of the voters are Democrats, and 30% are Republicans. Sixty percent of the Democratic voters and 40% of Republican voters favor the incumbent. What is the probability that a randomly selected voter from this community favors the incumbent?
Assume that the car lot contains 25 percent Volvos, 30 percent Corvettes, and 45 percent BMWs. Of the Volvos, 10 percent have navigation systems, 90 percent of the Corvettes have navigation systems, and 70 percent of the BMWs have navigation systems. You are assigned a car at random. If the car has a navigation system, what is the probability that it is not a Volvo?
A vaccine has a 90% probability of being effective in preventing a certain disease. The probability of getting the disease if a person is not vaccinated is 50%. In a certain geographic region, 25% of the people get vaccinated. If a person is selected at random, what is the probability that he or she will contract the disease?
In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled in a foreign language course. Of those enrolled in a psychology course, 32% are enrolled foreign language course. What is the probability of a student enrolling in both a foreign language course and a psychology course?
At a university with 1,000 business majors, there are 200 business students enrolled in an introductory statistics course. Of these 200, 50 are also enrolled in an introductory accounting course. There are an additional 250 business students enrolled in accounting but not enrolled in statistics. If a business student is selected at random, what is the probability that the student is not enrolled in statistics?
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
A large construction company has a workforce that is 80% men. Two workers are selected at random. What is the probability that both workers are of the same gender?
There are 40 males and 60 females graduating. Of these, 10 males and 20 females plan to attend a certain university next year. What is the probability that a randomly selected student plans to attend the university.
A very large pool consists of 23% Democrats, 35% Republicans, and the rest independents. What is the probability that none are independents if 10 are selected at random?