Permutation) In how many different ways can 4 married couples coming to a dinner1. ("be seated at a round table of eight seats (two seating arrangements are equivalent if everyone hasthe same immediate left and right neighbors).(1) if there are no restrictions?(2) if each married couple is seated together?(3) if the members of each sex are seated together?(4) Assume the eight people are seated randomly. Compute the probability P(“each marriedcouple is seated together or the members of each sex are seated together").

Given... 4 married couples coming to a dinner be seated at a round table of eight seats (two seating…

Answered: Permutation) In how many different ways…

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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Assume there are 4 programmers A, B, C, and D in a software company that develops apps. They develop, respectively, 15, 20, 30, 35 percent of the total apps there. Of their developments, respectively, 8, 5, 4, and 2 percent of the apps have bugs. An app developed by the company is chosen randomly and is found to have bugs.(a) (1 point) What is the probability that the app was developed by A?(b) (1 point) What is the probability that the app was developed by B?(c) (1 point) What is the probability that the app was developed by C?(d) (1 point) What is the probability that the app was developed by D?
Suppose there are 200 students in a classroom. And they can be classified as Blacks and Whites as well as some have white hair and some have black hair. Black white White hair 70 30 Black hair 25 75 What is the probability that a person selected at random will be a white person with black hair? What is the probability when A=white with black hair and b white with white hair? What is P (A union B)
A jury pool has 18 men and 15 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of(a) all men(b) all women(c) 8 men and 4 women(d) 6 men and 6 women
A store has 12 cars for sale. 5 are new, 4 are accident cars and 3 are used but in good condition. If 3 cars are selected at random for shipping to a customer. Let X be the number of new cars in the shipment. If a customer wants one new car, one accident car and one used car. In how many ways can this selection be done? Find the probability function for X.
A red ball and 19 white balls are in a box. If two balls are drawn, without replacement, what is the probability of getting a red R ball on the first draw and a white W ball on the second? Pr(R first Pr(R first w second) = 20 W second) = 13 18 19 Pr(R first W second) = 20 9 Pr(R first W second) = 20 Pr(R first W second) = 1
An urn has three blue and two white balls. If two balls are chosen at random, one by onewithout replacement, find the probability that:(a) the second ball is blue given that the first ball is white.(b)both balls are blue.
The contents of urns, I, II and III are as follows: 1 white, 2 black and 3 red balls; 2 white, 1 black and 1 red balls, and 4 white, 5 black and 3 red balls One urn is chosen at random and two balls drawn from it. They happen to be white and red. What is the probability that they come from urns I II or III
A jury pool has 24 men and 18 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of(a) all men(b) all women(c) 8 men and 4 women(d) 6 men and 6 women
A bowl contains six blue chips and three red chips. Three chips are to be drawn successively at random and without replacement. Find the probability that the first draw results in a red-chip (A), the second draw results in a blue-chip (B), and the third draw results in a blue-chip (C).
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

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