3a)Jobs arrive randomly at a particular assembly plant; assume that the given arrival rates in the table below has a Poissondistribution and service times (in minutes per job) do not follow the exponential probability distribution. Foul proposeddesigns for the plant's assembly operation are shown:BADDESIGN ADESIGN BDESIGN CDESIGN DCLeave blankCompute the average time in the assembly plant for each design and decide which design provides the best performance?Close3420DWL10

To compute the average time in the assembly plant for each design, we can use the Little's Law,…

Answered: Jobs arrive randomly at a particular…

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...

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An engineer has built a simulation model of a small factory, run an experiment with the model using 15 replicates, and determined at 90% confidence that the mean time an entity spends in the system is in the range of 24 min to 28 min. The data are normally distributed. Based on this information, what can the engineer say about entity time-in-system?A -The population mean time-in-system must be in the interval 24 min to 28 min. B- The largest mean time-in-system for any one of the 15 replicates was 28 min. C- If the engineer were to run a 16th replicate, the mean time-in-system would be in the interval 24 min to 28 min. D. The probability that the population mean time-in-system is greater than 28 min can be estimated as 5%.
A student stated: “I fail to see why the response function needs to be constrained between 0 and 1 when the response variable is binary and has a Bernoulli distribution. The fit to 0, 1 data will take care of this problem for any response function.” Comment.
The dean of a university estimates that the mean number of classroom hours per week for full-time faculty is 11.0. As a member of the student council, you want to test this claim. A random sample of the number of classroom hours for eight full-time faculty for one week is shown in the table below. At a = 0.01, can you reject the dean's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 12.1 8.9 11.8 8.4 7.2 10.1 12.1 8.7
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Determine if the following scenarios follow a Poisson distribution or do not follow a Poisson Distribution. • You work in a shoe shop and you want to find the distribution of the total number of people who come into the store in a day. You also observe that there are usually more people who come into the shop over lunchtime (10-2 pm) and more people who come into the store after they finish work (5 pm-6 pm). Let X be the number of people who come into the shoe shop on a given day. No - not Poisson • You love peanut butter and want to know how many people buy peanut butter from Trader Joe's. One summer you have nothing to do so you go and stand in Trader Joe's every day and count how many people buy peanut butter in a given week. You assume that consumers do not impact each other's decisions. Let Y be the number of people who buy peanut butter in a given week. Yes - Poisson You want to know how many people in a group of 100 take painkillers if they have a headache. You think that the…
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