1. Probability. The USI student council consists of 14 radicals and 11 socialists. Acommittee is formed by selecting 5 students at random.(a) Calculate the probability that there is at least one socialist in this committee.(b) Given that there is at least one socialist in this committee, then what is theprobability that 3 of the committee members are socialists?

Given that 14 radicals and 11 socialist 5 students are selected

Answered: 1. Probability. The USI student council…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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c) An engineer had 12 red washers and 16 blue washers in his tools box. He required 6 washersto fix a repairs on request, if he selects the washers at random what is the probability that it willcontain 3 red and 3 blue washers?
2.) In a class with 13 undergraduates and 10 graduate students, a 4-member panel will be randomly chosen. Find the probability that the group contains the following, and round your answer to 4 decimal places. (a) 2 graduate students and 2 undergrads (b) No more than 2 graduate students
From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of fruit is selected. What is the probability that 4 oranges, 1 apple and 3 bananas are selected?
10. In a group of 60 employees, 25 are managers. If a team of 8 employees is randomly selected, what is the probability that exactly 3 of them are managers?
3. An urn contains 10 red, 15 blue and 25 green balls. (a) Eight balls are chosen without replacement. What is the probability exactly 4 of the chosen balls are green? (b) Now four balls are chosen from the urn without replacement. What is the probability the first chosen ball is red, the second chose ball is green, the third chosen ball is green and the fourth chosen ball is blue?
9. In a group of 30 people, 10 have blue eyes. If a committee of 5 people is randomly selected, what is the probability that exactly 2 of them have blue eyes?
2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
5. A bucket contains 7 red balls, 8 green balls, and 5 black balls. If 4 balls are chosen randomly, find the probability that at least 1 of them is red. (6
If a committee of 3 is to be chosen at random from a class of 15 students, what is the probability of any particular committee being selected? (Enter your answer as a fraction.)What if the committee is to consist of a president, a vice president, and a treasurer? (Enter your answer as a fraction.)
1. A bag contains 7 green marbles, 2 white marbles, and 3 red marbles. A marble is removed and then placed back in the bag, and a second marble is picked. What is the probability of drawing a green marble and then a red marble? (Enter your probability as a fraction.) 2. A large box of vegetables contains 3 tomatoes, 4 heads of lettuce, and 8 onions. A vegetable is chosen at random and then replaced in the box, and a second vegetable is picked. What is the probability of choosing a tomato and then an onion? (Enter your probability as a fraction.)
8. The composition of the 108th Congress is 50 Republicans, 48 Democrats, and 2 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the probability that the group of 3 consists of a. All Democrats b. One Democrat, one Republican, and one Independent

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