5. Suppose we have three types of GPU's: A, B, C - at a super-computing facility. The time taken by each of the GPU: A, B, C - to perform a given task is model by exponential distributions Exp(A4), Exp(λB = 1), Exp(Ac = 0.2) respectively. Additionally, there are a total 10 GPUs, 2 of which are of Type A, 5 are of Type B, and the remaining are of Type C. When a task arrrives at the facility, we randomly assing the task to one of the 10 GPUs. (a) What is the probability that a task arriving at the computing center will be finished in 2 hrs? (b) What is the probability that a task arriving at the center will take between 1 and 4 hours? (c) What is the expected amount of time to finish a task arriving at the center? Show the setup and all work.

Spg

A disk drive has a constant failure rate and an MTTF of 5000 hr. (a) What will the probability of failure be for one year of operation? (b) What will the probability of failure be for one year of operation if two of the drives are placed in active parallel and the failures are independent? (d) What will the probability of failure be for one year of operation if the system si changed to standby model. (e) Describe the effect on the MTTF with a switching failure probability of 0.05. () What would be change in MTTF if the probability of failure of standby unit is 10 percent of the failure of the primary unit in the standby mode?

If a model has inputs aligned so that x = the numberof years after 2000, what inputs would be used torepresent 2015 and 2022?

The authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. The table gives body fat percentages for 16 athletes using each of these methods (a subset of the data given in a graph that appeared in the paper). For purposes of this exercise, you can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete 0 Ho: Md = Ha: Md 0 < 0 5 6 7 8 9 10 11 12 13 14 15 16 X-ray 4.75 7.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 8.50 9.25 11.00 12.00 14.00 17.00 18.00 USE SALT Ultrasound 4.75 4.00 9.00 11.75 17.00 27.75 6.50 6.75 8.75 9.75 9.50 12.00 12.25 15.75 18.00 18.50 X Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = P-value = 0.000 Mx-ray ultrasound.)

2. An experiment was conducted to explore the effects of fatigue on the performance of a simple manual task. A random sample of 15 male, college students was obtained. We will assume that this sample forms a random sample from all of the male, college students that were available to the investigators. These students were trained to make a continuous horizontal right-to-left arm movement from a microswitch to a barrier, so that the barrier was knocked over at exactly the same time as the clock sweep second hand arrived at the 6 o'clock position. The absolute value of the difference between the time, in milliseconds, that it took to knock over the barrier and the time for the sweep second hand to reach the 6 o'clock position was recorded. Note that the student's goal is to make this time difference as close to zero as possible. Each participant performed the task five times under rested conditions (the student was not fatigued) and fatigued conditions (the student was fatigued). The sums…

Suppose Y₁,..., Yn are independent random variables each with the Pareto distribution and E(Y) = (Bo + B1Xi) Is this a generalized linear model with a canonical link? Give reasons for your answer.

A county referral hospital has a single Cuban doctor to take care of patients arriving for specialized medical services across the ten sub counties. it has been established that the situation faced here is a single server situation with poison arrival and exponential service. from the records it has been established that patients arrive randomly at the rate of 0.25 patients per minute. Patients require different amount of time for treatment, the Doctor reckons that he treats his patients at an average rate of 0.3 patients/minute. Determine; a) The average number of patients in the queuing system b) Patients waiting in the queue c) Average amount of time a patient spends in the queuing system. d) The average amount of time a patient spends in the queue e) the proportion of the time the doctor is giving the service

Part (b)

I need help with the red x’s..