A purchasing office is to assign a contract for computer paper and a contractor for microcomputer disks to any one ofthree firms bidding for these contracts. (Any one firm could receive both contracts.) Find the probability thata. Firm I received a contract given that both contracts do not go the same firm.b.Firm I receives both contracts.C.Firm I receive the contract for paper given that it does not receive the contract for disks. What assumptions haveyou made?

We have given that a purchasing office is to assign a contract for a computer paper and a contractor…

Answered: A purchasing office is to assign a…

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

Sally and Mike are playing frisbee at the beach. When Sally throws the frisbee the probability is 0.13 that it comes back to Sally, the probability is 0.7 that it goes to Mike, and the probability is 0.17 that the dog runs away with the frisbee. When Mike throws the frisbee there is a 0.62 probability that Sally gets it, a 0.27 probability that it comes back to Mike, and a 0.11 probability that the dog runs away with the frisbee. Treat this as a 3--state Markov Chain with the dog being an absorbing state. (a) If Mike has the frisbee, what is the expected value for the number of times the frisbee will be thrown before the dog gets the frisbee and runs away with it? (Give your answer correct to 2 decimal places.) times thrown (b) If Mike has the frisbee, what is the expected value for the number of times Mike will throw the frisbee before the dog gets it? (Give your answer correct to 2 decimal places.) times Mike throws
Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.52. If it rained yesterday but not today, then it will rain tomorrow with probability 0.24. If it rained today but not yesterday, then it will rain tomorrow with probability 0.43. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.34. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.52 0 0.43 0 0.48 0 0.57 0 0 0.24 0 0.34 0 0.76 0 0.66 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C ?(?) ?(?) ?(?) 0.4 0.6 0.7 What is the probability that the employee is not late for work? Please write your answer in decimal form, rounded to three decimal places.
Suppose that an employee at a local company checks his watch and realizes that he has 10 minutes to get to work on time. If he leaves now and does not get stopped by any traffic lights, he will arrive at work in exactly 8 minutes. In between his house and his work there are three traffic lights, A, B, and C. Each light that stops him will cause him to arrive an additional 2 minutes later. The following table displays the probability that he is stopped by each of the three traffic lights. Assume that the probability that he is stopped by any given light is independent of the probability that he is stopped by any other light. Traffic light A Traffic light B Traffic light C ?(?)P⁡(A) ?(?)P⁡(B) ?(?)P⁡(C) 0.6 0.4 0.9 What is the probability that the employee is not late for work? (Round to 3 decimal places)
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:
A class in advanced physics is comprised of 20 juniors, 30 seniors and 10 graduate students. The final grades showed that 5 of the juniors, 12 of the seniors, and 6 of the graduate students received an A for the course. If a student from this class is selected and is found to have earned an A, what is the probability that he or she is a junior? Ans is Blank 1 (round off your final answer into four decimal places. #.####)
The three-year recidivism rate of parolees in a certain state is about 20%; that is, 20% of parolees end up back in prison within three years. Assume that whether one parolee returns to prison is independent of whether any of the others return. Complete parts a and b below. Find the probability that exactly 6 out of 20 parolees will end up back in prison within three years. The probability that exactly 6 out of 20 parolees will end up back in prison is nothing.
Please provide steps for how you got the solution to the problem provided below. A freelance worker spends her days doing one of two things: working on a project or looking for a new project. Whenever she has a project to work on, she dedicates her full attention to it. On a particular month, she will complete the current project with probability 0.3. After completing project she takes the rest of the month off, and then at the beginning of the next month starts looking for work. On a given month, she will successfully find a new project with probability 0.85. After identifying a new project, she will start working on it at the beginning of the next month. i. Model the status of the worker (looking for a project of busy working a project) as a Markov chain. Give transition matrix. ii. Suppose that on March 1st she started looking for a new project. Find the probability that she will be working on a project during the month of May.
On Mr. Casper's debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are Juniors and 45% are Seniors. A team member is selected randomly to give the closing argument for the team. If a sophomore gives the closing argument, the team has a probability of 0.25 of winning the debate. If a junior gives the closing argument, the probability of winning is 0.6. If a senior closes, the probability of winning is 0.85. (a) Find the probability that the team wins the debate. b sketch a tree diagram to model this process
But change the problem as follows: The probability that each link is working is 0.95. Also, if the message was transmitted successfully, what is the probability that the middle link was working? (Hint: Messages get sent through all three paths. At least one of the three paths must be successful in order for B to receive the message.)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS