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- Consider the following queuing systems:System 1 An average of 40 customers arrive each hour; interarrival times are exponential. Customers must com-plete two types of service before leaving the system. The first server takes an average of 30 seconds (exponentiallydistributed) to perform type 1 service. After waiting in line, each customer obtains type 2 service (exponentially distrib-uted with a mean of 1 minute) from a single server. After completing type 2 service, a customer leaves the system.System 2 The arrival process for system 2 is identical to the interarrival process for system 1. In system 2, a cus-tomer must complete only one type of service. Service time averages 1.5 minutes and is exponentially distributed. Twoservers are available.In which system does a typical customer spend less time?Which of the following is the largest number of jobs that could theoretically be within the software industry at present, based on the information available? A) 1,4 million B) 2,4 million C) 4 million D) 8 million E) 10 million Transcribed Image Text:Preparing for Automation The possibility of having robots or mechanical assistants completing our laborious, dangerous, or repetitive day-to-day tasks has long been a dream of humanity. Now, as Robotic Process Automation (RPA) becomes commonplace, this dream or concern, depending on viewpoint - is getting closer. RPA, far from the walking, talking android commonly found in science fiction series, can be thought of as a programmable piece of software which, through using a series of rules, will complete repetitive tasks with a lower error rate and less interruption than a human completing the same tasks. The aim of RPA, beyond improving efficiency, is to free up humans from the monotony of roles like data entry, stock management and…Consider an airport where taxis and customersarrive (exponential interarrival times) with respective rates of one and two per minute. No matter howmany other taxis are present, a taxi will wait. If anarriving customer does not find a taxi, the customerimmediately leaves.a. Model this system as an MyMy1 queue. (Hint:Think of the taxis as the “customers.”)b. Find the average number of taxis that are waitingfor a customer.c. Suppose all customers who use a taxi pay a$10 fare. During a typical hour, how much revenuewill the taxis receive?
- Which of the following is the largest number of jobs that could theoretically be within the software industry at present, based on the information available? A) 1,4 million B) 2,4 million C) 4 million D) 8 million E) 10 millionThe creator of a new online multiplayer survival game has been tracking the monthly downloads of the game. The following table shows the monthly downloads (in thousands) for each month of the current and previous year. Click on the datafile logo to reference the data. Month Downloads Month Downloads (previous year) (thousands) (current year) (thousands) February 33.0 January 37.0 March 34.0 February 35.0 April 34.0 March 37.0 May 32.0 April 38.0 June 32.0 May 35.0 July 35.0 June 36.0 August 35.0 July 35.0 September 37.0 August 35.0 October 37.0 September 34.0 November 36.0 October 31.0 December 34.0 Compute the mean, median, and mode for number of downloads in the previous year. Mean (to 3 decimals) thousand Median (to 2 decimal) thousand Mode (to 2 decimal) thousand…Fruit flies have built-in circadian rhythms that keep time in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. The following table summarizes some data on the duration of copulation for flies that carry either the per mutation or the tim mutation: Mutation Mean copulation duration (min) Standard deviation Sample size per 17.5 3.37 14 tim 19.9 2.47 17 Do the populations carrying these mutations have different variances in copulation durations? Carry out the appropriate test using α =0:05 Do these two mutations lead to different mean…
- Case Switzerland: Which of the following is the largest number of jobs that could theoretically be within the software industry at present, based on the information available below? Additional Information: - Currently, it is estimated that 3% of roles could be entirely automated using the technology we have available to us now. - By 2025 this will have risen to around 35%, by 2030 it will be at 50% and by 2080 scientists are predicting advanced AI technologies will have replaced 85% of current jobs. - A more astonishing figure is the 42% of roles which could be made more efficient, more productive, and more enjoyable through automating individual tasks within the wider role. - Waste Management industry has a CHF 48 billion slaary bill in Switzerland with the highest potential for automation. - Swiss people work for an average of 20.3 hours a week when holidays are taken into account. - Switzerlands average weekly earning is CHF 1,615 and has an unemployment rate of 3.3% with…1) Which of the following is not drawn by system of equation (a) Logistic model (b) predator model (c) competition model (d) both b, cConsider 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?
- June is a student taking a statistics course. Unfortunately June is not a diligent student she does not read the textbook before or after class does not do homework and regularly misses class. She intends to rely on log to pass the next quiz. The quiz consists of 10 multiple-choice questions. Each question has five possible answers. Only one of the answers is correct, so the probability of choosing the correct answer is 0.20. June plans to guess the answer to each question independently. Let X be the number of correct answers on June’s quiz. A score (I.e, the number of correct answers) is considered failure if it is less than 6. What is the probability that June fails the quiz?A school board has a plan to increase participation in the PTA. Currently only about 22 parents attend meetings. Suppose the school board plan results in logistic growth of attendance. The school board believes their plan can eventually lead to an attendance level of 66 parents. In the absence of limiting factors the school board believes its plan can increase participation by 10% each month. Let m denote the number of months since the participation plan was put in place, and let P be the number of parents attending PTA meetings. (b) Find the constant b for a logistic model. b = (c) Find the r value for a logistic model. Round your answer to three decimal places. r = (d) Find a logistic model for P versus m. P =The tables show the cat population on two islands over several years. Describe mathematically, as precisely as you can, how the cat population on each island is changing. year 0 1 2 3 4 number of cats on Meow Island 2 6 18 54 162 year 0 1 2 3 4 number of cats on Purr Island 2 6 10 14 18