Please give details on steps used every step of the way. Three servers (A, B, C) are busy when a job arrives for processing. Processing time is exponential with average 50 minutes, 30 minutes and 1 hour for A, B and C respectively. The next job will be assigned to the first available server. i. What is the expected time until the job is assigned? ii. What is the probability that it will be assigned to server A? iii. What is the expected time until the job is complete?

Please give details on steps used every step of the way. Three servers (A, B, C) are busy when a job arrives for processing. Processing time is exponential with average 50 minutes, 30 minutes and 1 hour for A, B and C respectively. The next job will be assigned to the first available server. i. What is the expected time until the job is assigned? ii. What is the probability that it will be assigned to server A? iii. What is the expected time until the job is complete?

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

Related questions

Q: A recent study for Las Vegas showed that the probability of an individual resident moving in a given…

A: Solution: Let X be the number of times an individual will move and n be the number of years. From…

Q: 20 dice were rolled. die that shows a number different from 1 is rolled again. Find the probability…

A: No. of dice rolledIf a die shows , it'll be rolled again.The probability distribution function of…

Q: Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes.…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: 31% of all college students major in STEM (Science, Technology, Engineering, and Math). If 39…

A: Given,n=39p=0.31Let X=no.of students major in STEM.X~Binomial(n=39 , p=0.31)P(X=x)=39x…

Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

Q: Michelle, a telemarketer makes six phone calls per hour and is able to make a sale on 30% of these…

A: The random variable X is making sales. The number of cars per hour is 6. The probability of making a…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given thatThe proportion of eligible voters in the next election who will vote for the incumbent is…

Q: According to a Gallup Poll, the probablity that a Republican approves of the death penalty is 69%.…

A: The probability that Republicans approve of the death penalty is 69%.p=0.69wants to calculate…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A: The table shows the numbers of male and female students in a particular country who received…

Q: T5.8 In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: An assembly line machine produces a defective widget 23% of time,the rest of the time it produces a…

A: Here, n = 21 and p = 0.23.

Q: Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced…

A: Total Cards in deck = 52 Number of club in the deck = 13 Number of spade in the deck= 13 Probability…

Q: Assume that when adults with smartphones are randomly selected 52% use them in meetings or classes.…

Q: Assume that when adults with smartphones are randomly selected, 47% use them in meetings or…

A: given data P(use smartphone in meeting or class) = p = 0.47sample size (n) = 8x = no. of people use…

Q: The amount of time, in seconds, a cashier spends with a customer during lunch time at a fast food…

A: The average amount of time spent with a customer is 160 seconds.

Q: Jane tosses a fair die 3 times. What is the probability she rolls at least 1 five? If necessary,…

Q: (b) Find the probability that a randomly selected student received a business degree, given that the…

Q: 53% of undergrads at UD are from Ohio. If a Simple Random Sample of 180 UD undergrads will be taken,…

A: proportion of Undergrads at UD are from Ohio(p)=0.53sample size(n)=180Mean()=p=0.53standard…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: Find the probability that more than 6.6% of the individuals in the sample of 352 hold multiple…

A: Given p = 0.066 n = 352 X ~ B(n, p) P(X=x) = Cxn px(1-p)n-x ; x=0,1,2...…

Q: Quality control. An assembly plant produces 40 outboard motors, including 7 that are defective. The…

Question

i. What is the expected time until the job is assigned?
ii. What is the probability that it will be assigned to server A?

iii. What is the expected time until the job is complete?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: part 1

Step 2: part 2

Step 3: part 3

Solution

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find between 10 and 20 substandard welds? ( don't hand writing solution)
Assume that private preschool costs in the city are normally distributed. The average amount that NYC parents pay for private preschool is u =$27,500 a year with o = $7, 740. Find the probability that for nine family is the average amount a preschool in New York City will cost them will be less than $32,000 a year.
2. The driving time between Toronto and North Bay is found to range evenly between 195 and 240 mins. a. [4] What is the probability that the drive will take less than 210 mins? Explain your calculations. b. [3] What is the probability that the drive will take exactly 210 min? Explain your answer.
Picture posted below
The pass rate in Math146 at GRC is only 30% per quarter. 8 students are taking Math146 this quarter. What is the probability that EXACTLY 3 students will pass Math146 this quarter? Please just enter the numerical answer to 4 decimal places places in the box provided a. 0.254 O b. 0.309 O c. 0.239 d. 0.806
assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. if 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes. round to four decimal places
The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.7%. What is the probability that in a random sample of 410 voters, less than 48.4% say they will vote for the incumbent? Probability =
The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes. What is the probability that somebody spends less than 50 minutes at the gym?
Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: : The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Ha: : The distribution of the proportion of…
If the probability that a randomly chosen college student takes statistics is 0.75, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.
I 3. Now, take your die and roll it 30 times. Create a table below to document each roll of the die. Use this trial data to determine the experimental probability of rolling a two on the die. Write this probability in three equivalent forms: as a fraction, a decimal (rounded to three places) and a percentage (rounded to one decimal place).
The time to fly via a commercial airliner from Newark airport to Atlanta follows a uniform distribution and ranges from 120 minutes to 140 minutes. What is the probability that a flight is more than 128 minutes? Express answer as a percent with 1 decimal