3. Suppose there are 10 workers require, for a very short period of time but ratherfrequently, the full computing power of a processor; suppose, to make it easy, that atany given instant the probability that a particular worker will require the dedicatedservice of the processor is 1/5. (One might suppose, for example, that any workerneeds it about 12 minutes out of every hour but in tiny bursts.) All workers workindependently. Suppose that there are six processors; what is the probability thatdemand for computing will exceed supply? What if there are seven processors?

Given information: X = Number of workers requiring processor usage out of 10. X~Binomialn=10, p=15

Answered: 3. Suppose there are 10 workers…

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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1.) Let arr86 be a binary variable equal to 1 if a man was arrested during 1986, and zerootherwise. You have a dataset of young men from California who were born in 1960 or1961 and have at least one arrest prior to 1986. You also have data on the proportion ofprior arrests that led to a conviction (pcnv), the average sentence served from priorconvictions in months (avgsen), months spent in prison since age 18 prior to 1986(tottime), months spent in prison in 1986 (ptime86), and the number of quarters (0 to 4)that the man was legally employed in 1986 (qemp86). You estimate the following linearprobability model (standard errors are in parentheses): arr86 = 0.441 - .162pcnv + .0061avgsen - .0023tottime (.017) (.021) (.0065) (.005) - .022ptime86 - .043qemp86 (.005) (.005) n= 2725R2=.0474 a) Interpret the coefficient on avgsen, commenting on both magnitude and significance. Based on these results, do longer sentences deter future crime?…
The table shows the leading causes of death in a certain country in a recent year. The population of the country was 311311 million. If you lived in a typical city of 500,000, how many people would you expect to die of cancercancer each year? Cause Deaths Cause Deaths Heart disease 596 comma 700596,700 Alzheimer's disease 84 comma 90084,900 Cancer 575 comma 300575,300 Diabetes 73 comma 40073,400 Chronic respiratory diseases 143 comma 100143,100 Pneumonia/Influenza 53 comma 40053,400 Stroke 128 comma 600128,600 Kidney disease 45 comma 30045,300 Accidents 122 comma 500122,500 Suicide 38 comma 60038,600 About people would be expected to die of cancer each year. (Type a whole number. Round to the nearest person as needed.)
Suppose that a group of illegal counterfeiters print 1,000 copies of fake $20 bills and introduces them into the economy. Suppose that each bill is used once per week (starting in week 1), and that each time a bill is used, it has a 1 in 5 chance of being detected as fake. If it is detected, it is removed. If not, it is used again. k n-1 (a) What does the expression E 1000 (" ) represent? Explain. n=1 Suggestion: If you are unsure, try writing out the expression for n = 1,2, 3 and consider what these might represent.
Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?
For the M/M/N/o system, the probability that an arrival will find all servers busy and will be forced to wait in queue is an important measure of performance of the M/M/N/∞ system. This probability is given by PQ N!(1 – p/N) | and is known as the Erlang C formula. Please derive the equation. What is the expected number of customers waiting in the queue (not in service)?
What does the memoryless property refer to? An event cannot occur if it has already occured within a recent specified time period. The distribution of the time until an event does not depend on how much time has already passed. The occurrence of an event is independent of the number of times that event has already occurred. None of the above.
1. Pretend that in a certain city the number of new cases of COVID was reported to be 200 new cases on Sunday. Let’s pretend that the number of new cases grows by 22% on Monday, and then after that falls by 22% on Tuesday Question C: What percent would the percent increase have to be on Monday to have a total change of zero% from Sunday to Tuesday? i.e. new covid cases go up by ???% on Monday and then down 22% on Tuesday for a total change of 0%. (Use decimals in answer if needed)
43. Six thousand light bulbs light a large hotel and casino marquee. Each bulb fails completely at random, and each has an average lifetime of 3,280 hours. Assuming that the marquee stays lit continuously and bulbs that burn out are replaced immediately, how many replacements must be made each year on the average? 44. The owner of the hotel mentioned in Problem 43 has decided that in order to decrease the number of burned-out bulbs, she will replace all 6,000 bulbs at the start of each year in addition to replacing the bulbs as they burn out. Comment on the effectiveness of this strategy.
Problem: To study the effectiveness of possible treatments for insomnia, a sleep researcher conducted a study in which four participants were instructed to count sheep (the Sheep Condition), four were told to concentrate on their breathing (the Breathing Condition), and four were not given any special instructions. The average number of minutes taken for each participant to fall asleep over the next seven days were 14, 28, 27, and 31 minutes for the Sheep condition; 25, 22, 17, and 14 minutes for those in the Breathing condition; and 45, 33, 30, and 41 for the Control condition. Using the .05 significance level, did the different techniques have different effects? Step 1: Restate the question as a research hypothesis and a null hypothesis about the populations. Pop 1: Pop 2: Pop 3: Null hypothesis: Research hypothesis: Step 2: Determine the characteristics of the comparison distribution. What type of distribution is this What is the df for…
The following table gives the annual revenue for two different companies (in billions of dollars) for a 10-year period. What is the five-number summary for Company A? Year 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 D Company A 97 97 60 105 87 100 70 101 109 95 96 84 Company B 45 65 66 70 73 82 93 83 ..... What is the five-number summary for company A? Q, =O Q2 =0 Q3 =D Max = Min = %3D (Type integers or decimals.)

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