Q22. In a computer network a virus is spreading from machine to machine. Each week, the proportion of uninfected computers that remain uninfected is 0.50 with the rest becoming infected. Meanwhile, 0.50 of the computers that are infected are restored and become uninfected with the rest remaining infected. Suppose 0.80 of the network is currently uninfected. A a В

Q22. In a computer network a virus is spreading from machine to machine. Each week, the proportion of uninfected computers that remain uninfected is 0.50 with the rest becoming infected. Meanwhile, 0.50 of the computers that are infected are restored and become uninfected with the rest remaining infected. Suppose 0.80 of the network is currently uninfected. A a В

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter17: Markov Chains

Section17.6: Absorbing Chains

Problem 7P

See similar textbooks

Similar questions

For the Covid-19 pandemic, let’s make the following assumptions: (i) the natural infection rate is 20% (i.e., a person who is not vaccinated has 20% chance of being infected); (ii) the vaccine is 90% effective at preventing Covid-19 infection (i.e., a vaccinated person has only 2% chance of being infected); (iii) the probability of a random person being vaccinated is 60%. Without knowing whether or not a person is vaccinated, what is the probability that this person will be infected? Given that a person is infected, what is the conditional probability that this person is vaccinated?
A particular telephone number is used to receive both voice calls and fax messages. Suppose that 20% of the incoming calls involve fax messages, and consider a sample of 20 incoming calls. (Round your answers to three decimal places.) (a) What is the probability that at most 6 of the calls involve a fax message?(b) What is the probability that exactly 6 of the calls involve a fax message?(c) What is the probability that at least 6 of the calls involve a fax message?(d) What is the probability that more than 6 of the calls involve a fax message?
To check on an ambulance service’s claim that at least 40% of its calls arelife-threatening emergencies, a random sample was taken from its files, and it was foundthat only 49 of 150 calls were life-threatening emergencies. Can the null hypothesis p = 0.40be rejected against the alternative hypothesis p < 0.40 if the probability of a Type I erroris to be at most 0.01?
6...
Suppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents ()Code sample:public class Question1…
Suppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.Solve this question in c ++ language.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents…
9. Prove the formula: e* ≥ 1 + x, Vx € R. 10. What is the probability that in a random group of 10 people at least two have the same birthday? Consider the experiment: Two fair die are cast and the sum of the spots shown on the uppermost
If the probability of an event is 62%, what is the probability of its complement?
A nine character long password is to be created using lower-case letters, four special characters {!, @, #, $} and digits. For the password to be valid, it must contain at least one lower-case letter, one of the given special characters and one digit. What is the probability that a randomly generated nine character password is valid? Assume that the password is generated using only the lower-case letters, the given special characters and digits
In a communication tower, let k be the number of active (non-silent) speakers in a group of six non-interacting (i.e., independent) speakers. Suppose that a speaker is active with probability 1/4. Compute the following 1. Using the appropriate mathematical formulas to find the probability that the number of active speakers is greater than three. 2. Using MATLAB to simulate the random experiment and validate the results evaluated in 1. 3. Plot the probability density function of the random variable k. (a) What is basic problem area? (b) Why is this topic important? (c) What ideas do you have for future directions for this work? (d) What did you learn from this project?
Consider the following scenarios. A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed, the student opens it. After all the students have taken turns, some of the lockers are open and some are closed. The program, when ran, will prompt the user to enter the number of lockers in the school. After the game is over, the program will output the number of lockers…
Every campus has full time students who attend classes between 8h00 and 17h00 during theweek. Every campus also has part time students who attend classes between 18h00 and 21h00 onweekdays. In the scenario provided at the beginning of Q.1.1, it is stated that no student shouldbe allowed to access the campus after 12h00. The campus has decided to change this rule to state“no full-time student will be allowed to access the campus after 12h00. Part time students canaccess the campus as from 17h00 By making use of a class diagram, demonstrate how the concept of inheritancecan be used to represent the scenario provided at the beginning of thisquestion. Marks will be awarded as follow: Class diagram showing inheritance; Attributes; Instance methods; Access specifiers