Problem 10-17 (Static)An office employs several clerks who create documents and has one operator who enters the document information in a computersystem. The group creates documents at a rate of 25 per hour. The operator can enter the information with an average exponentiallydistributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFSdiscipline.a. Calculate the percentage utilization of the operator.Note: Round your answer to 1 decimal place.Utilization of the operatorb. Calculate the average number of documents in the system.Average number of documentsc. Calculate the average time in the system.Average time in the system%Probabilityminutesd. Calculate the probability of four or more documents being in the system.Note: Round your intermediate calculations to 3 decimal places and final answer to 1 decimal place.

In this system population is infinite, arrivals are poisson distributed and service time is…

Answered: Problem 10-17 (Static) An office…

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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A researcher thinks some social media sites are more prone to narcissistic behavior (excessive posting) than others. To examine the relationship between narcissism and social media, she recruits users of three different social media sites (Facebook, Twitter and Instagram), follows them for 24 hours and records the number of posts made by each user. The number of posts is given in the table below. Twitter Facebook Instagram 10 7 14 10 8. 10 10 10 11 9. www. 12 wwww. 11 13 12 8. 7 8. 11 8 10 12 11 11 a. Perform a complete hypothesis test to determine whether there are any significant differences among the three groups. Test at the .05 level of significance. SHOW ALL YOUR WORK b. Do you need to perform post hocs? Explain but do not compute the post hocs. C. Compute effect size. d. Summarize your findings in a source table. e. Write an interpretation of our results in APA-format (include means and SDs in your interpretation)
Example 3: Alexis has a lengthy commute to work each day. There are two main routes that she takes on her way to work and they both average 40 minutes. Alexis likes to be able to predict how long before work she needs to leave in order to make it on time, and since both routes take the same average amount of time, she was interested in determining whether or not one route was more consistent with its timing. So she recorded how long it took her to drive to work 20 times total (Data shown below). Carry out an appropriate hypothesis test at the a = to determine if one route yields more consistent times than the other. 0.05 level %3D Route 1 41 42 41.5 40.5 41 40.5 40 39 40 42 Route 2 37 36 39 38 37 40 44 41 43 38 Standard Deviation Sample Size Route 1 0.950 10 Route 2 2.669 10
The Environmental Protection Agency is concerned with the problem of setting criteria for the amounts of certain toxic chemicals to be allowed in freshwater lakes and rivers. A common measure of toxicity for any pollutant is the concentration of the pollutant that will kill half of the test species in a given amount of time (usually 96 hours for fish species). This measure is called LC50 (lethal concentration killing 50% of the test species). In many studies, the values contained in the natural logarithm of LC50 measurements are normally distributed, and, hence, the analysis is based on In(LC50) data. Suppose that n = 30 observations are to be taken on In(LC50) measurements and that o 0² = 1.7. Let S² denote the sample variance of the 30 measurements. (a) Find a number b such that P(S² ≤ b) = 0.975. (Round your answer to three decimal places.) b = (b) Find a number a such that P(a ≤ S²) = 0.975. (Round your answer to three decimal places.) a = (c) If a and b are as in parts (a) and…
question 5
Assuming that cars arrive at a toll, on average, every 0.5 minutes, and the toll has only one payment window, and both the time between arrivals and the time between calls follow an exponential distribution. The toll attendant takes an average of 0.3 minutes to collect. Calculate the system performance measures, ie the car arrival rate and the toll service rate.
A total of 100 members of a hiking club are periodically evaluated for Lyme disease to comply with their club charter. The graph shown depicts the onset of Lyme disease among the members between 1997 and 1999. Which of the following is the incidence of Lyme disease within this population in 1998? Prior to 000 1997 O a. 2/95 b. 2/100 c. 5/95 d. 5/100 e. 7/95 f. 7/100 1998 O O
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Energy Consumption. Exercises 1-5 refer to the amounts of energy consumed in the author’s home. (Most of the data are real, but some are fabricated.) Each value represents energy consumed (kWh) in a two-month period. Let each subgroup consist of the six amounts within the same year. Data are available for download at www.TriolaStats.com Let each subgroup consist of the 6 values within a year. Construct an R chart and determine whether the process variation is within statistical control. If it is not, identify which of the three out-of-control criteria lead to rejection of statistically stable variation.

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