Suppose that 35% of all voters prefer Candidate A. If 8 people are chosen at random for a poll, what is the probability that exactly 6 of them favor Candidate A?
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- Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the flowers are pink, 8 are yellow, 8 are orange, and 8 are green. Suppose that 10 flowers are randomly selected, without replacement. What is the probability that exactly 2 of the flowers are yellow, exactly 4 of the flowers are another common color and exactly 4 of the flowers are a third common color?A poll is given, showing 75% are in favor of a new building project, if 8 people are chosen at random, what is the probability that exactly 2 of them favor the new building project?Suppose that 55% of all voters prefer Candidate A. If 7 people are chosen at random for a poll, what is the probability that exactly 2 of them favor Candidate A?
- Assume that 159 voters are randomly selected, in a previous study 22% of them voted. Find the probability that fewer than 40 out of 159 voted.In a class of 60students, 31are Democrats, 19 are business majors, and 10 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major.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?
- 10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.Assume that when adults with smartphones are randomly selected, 46% do not use them in meetings or classes. If 8 adult smartphones users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings and classes.Suppose that 35% of all voters prefer Candidate A.If 7 people are chosen at random for a poll, what is the probability that exactly 3 of them favor Candidate A?
- 2. If there are 5 pieces of gum and 3 candies in a box and 3 of them are taken at random, generate the probability distribution for the number of candies that came out in the sample.Assume for this problem that the company has 8 BMWs and 5 Hondas, and two cars are selected randomly and given to sales representatives. What is the probability of both cars being BMWs, given that both are of the same make?A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?