Sysen531 Final Exam 1. A professor continually gives exams to her students. The exams are of three types and her students are graded as having done well or badly. Let pi denote the probability that they do well on a type i exam and suppose that p1=0.3, p2=0.6 and p3 =0.9. If the class does well on an exam then the next exam is equally likely to be any one of the three types. If the class does badly then the next exam is always type 1. 1) Use a markov chain to determine the long term proportion of the exams of the three types. 2) If the first exam is type 1 what is the mean number of exams until the class is first given an exam of type 3 2. There are five cards in a set. A bubble gum card purchaser will receive one card equally likely to be any one of the five. Let …show more content…
3) Compute L and W when there is no capacity restriction. 4. The schematic below represents a client/server system in which M clients independently of each other send jobs to a server where they wait for processing. The time between requests is the same for all clients and is exponentially distributed with a mean of 100 ms. The processing time at the server is exponential with a mean of 20 ms. Using the appropriate queuing model, compute the server utilization (probability that the server is busy) and the waiting time W (known as the response time in this application), as the number of clients M varies from 1 to 20. (Use a data table). Plot W against M to show the effect of the number of clients on the system response. At high server utilization the system is congested and each additional client increases the response time by its service time and the plot of W against M becomes linear. From your computed results calculate the change in W as M increases from 19 to 20. 5. The sketch below shows the trajectory of a projectile propelled with an initial velocity V0 at an angle 8. Neglecting air resistance the horizontal range travelled is given
This project will explore the current state or our healthcare and where it is predicted to cost us in the future. We will also examine the overall health programs and how the uninsured will affect the system entirely. Universal healthcare would alleviate the financial burden on some of the population and provide access to almost all of the country's population; however, this system will cost more. Funding the program will be discussed as well as the taxes and other funding that will help pay for the coverage. Likewise, how
The classroom is made up of general education. There are about three students who leave the classroom to go to speech. The makeup of the classroom is different
(TCO 3, 8, 9) You have been asked by a committee of student success coaches to investigate why the rate at which freshman students post to their course threaded
There will be three main entities in the system; the students, the instructors and the courses. The
they will pass the course. The probability of not passing if the student does not do the
Q4: What is total number of males in Northern region whose final result is pass and highest education is lower than A level?
| An undergraduate business student has purchased a laptop computer for use during exams. This laptop is perfectly reliable except for two parts: its microchip, which has a failure rate of one in every twenty hours of operation; and its battery, which has a failure rate of one in every ten hours of operation. In addition, on average the battery will wear out in five hours, with a standard deviation of 30 minutes. Assuming that a new battery has just been installed, what is the probability that the battery will perform reliably during a one-hour exam?Answer
Decide whether the experiment is a binomial experiment. Explain why by citing the properties of binomial experiments.
Hence, the bottleneck is due to high variability in order arrival rate and order processing time. Hence, we need to analyse the quarterly utilization level.
After getting a list of each 5th hour class in the school, they were listed alphabetically by teachers last name. Next they were numbered 01, 02. . . 00n. Using the calculator we received the numbers 51 49 12 64 8 65, which corresponded to the teachers, Reynolds, Omens, Curtis, Tourangeau, Cao, Uhen, respectively. Previously we had decided that the first three subjects would receive treatment A -I would ask the question- the second three, treatment B- Taylor would ask. The subjects receiving treatment A would be the
- 4,200 customers go through the system in a 14 hr. day. Thus, the throughput rate
14) The legal profession conducted a study to determine the percentage of cardiologists who had been sued for
By taking the demand and subtracting the staff at work during the specific timeframes we generate a visual representation of how the queue changes
By estimating the average number of students who will visit the tutor room during the opening hours, we can determine whether the Department of Finance and Actuarial Science can close down the tutor room during some specific hours so that they can reduce the hiring expenses. Firstly, we need to identify the distribution needed for this test. 3As the numbers of students who will visit the tutor room during the opening hours are subject to the timing students usually study and all this and would not affect one another, this random variable is independently and
In order to find out if the statement is true or should be rejected, we will use means of transport as one category and the other which would be compared is going to be expected grades at the end of the course. Around 36% of those who use public transport are expecting to receive a 1st class grade at the end of the year. While the same grade is expected by more than 43% students who use personal means of transport. Moreover, the mean grade expected by the whole class is 2.1 and 48% students who use public transport are expecting this grade, while 50% who use personal transport are expecting it. The lowest which is expected by all the students is a pass grade and 75% who expect it use public transport while only 25% of those who expect it are users of personal transport. Contrastingly, only 6.5% users of public transport expect a pass grade while 9.3% students who use a car or take a walk expect a pass grade. Thus, the statement can be considered as true.