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- A student is speeding down Route 11 in his fancy red Porsche when his radar system warns him of an obstacle 400 feet ahead. He immediately applies the brakes, starts to slow down, and spots a skunk in the road directly ahead of him. The "black box" in the Porsche records the car's speed every two seconds, producing the following table. The speed decreases throughout the 10 seconds it takes to stop, although not necessarily at a uniform rate."Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 5 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 8 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 2 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate what is the maximum number of tourists waiting in the queue? (Round to the nearest integer and fill in the blank with a number only.) Tourist # 180 D/D/1 360 Time (min) AEstimate the average gasoline consumption over the time interval [0,5].Estimate the average gasoline consumption over the time interval [7,10]
- plz do fast...i will likeA model is built to explain the evolution of spending on tourism and recreation in a certain group of families (Y in USD/person/year). As potential explanatory variables are considered: X1 average annual income per person in the family (in USD), X2 – number of people in the family, X3 – nature of employment of the head of household If X3=1, when the head of the family is self-employed, X3=0, when the head of the family is an employee Based on the collected data, linear correlation coefficients between variables were calculated and obtained 0,84 R, = -0,47 [1 -0,55 0, 62 R= 1 -0,42 0,75 1 Using Hellwig's method, select the optimal combination of explanatory variables for the tourism and recreation expenditure model.Suppose you own a restaurant and have a cook whose ability and attitude you are suspicious of. One ofthe dishes on the menu is duck cassoulet, which uses duck legs that have been slow fried over a couple of hoursin oil that does not exceed a temperature of 175 degrees. This is a time consuming and monotonous process,but one that results in excellent meat that you sell for a large mark-up. You suspect your cook is lazy anddoesnít properly monitor and maintain the oil temperature. You take a random sample of 12 duck legs andtake them to a forensics lab where you are able to discover the maximum temperature the meat has reached.Within your sample the mean maximum temperature of the duck legs is 182 degrees with a standard deviationof 5 degrees. Meat cooked precisely to 175 degrees is what your cook is supposed to do. Test the claim thatyour employee is capable (meaning he doesnít over-fry the meat) at the 90% conÖdence level.
- Assume a single server queueing system with exponential inter-arrival times, and service times. Assume that the expected inter-arrival time is 10 minutes, and the expected service time is 7.5 minutes. We are interested in the expected time the customers spend waiting in queue (in minutes). Develop a Monte Carlo simulation model to estimate Wg Calculate W (expected wait time in queue), and compare it with the previous resultResearchers have created every possible "knockout" line in yeast. Each line has exactly one gene deleted and all the other genes present (Steinmetz et al. 2002). The growth rate—how fast the number of cells increases per hour—of each of these yeast lines has also been measured, expressed as a multiple of the growth rate of the wild type that has all the genes present. In other words, a growth rate greater than 11 means that a given knockout line grows faster than the wild type, whereas a growth rate less than 11 means it grows more slowly. The growth rate of a random sample of knockout lines is 0.86, 1.02, 1.02, 1.01, 1.02, 1, 0.99, 1.01, 0.91, 0.83, 1.01 What is the standard deviation and variance of growth rate for this sample?The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respecsvely. The inter arval time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of trucks waiting in the ine int You may use the formulas for M/M/2 Queuing Model) What is the average number of trucks in the waiting line? O a. 0.0333 Ob.0.s O. 3 Od.0,1227 Oe. 2.25
- Two computer specialists are completing work orders. The first specialist receives 60% of all orders. Each order takes her Exponential amount of time with parameter A₁ = 4 hours ¹. The second specialist receives the remaining 40% of orders. Each order takes him Exponential amount of time with parameter 2₂ = 5 hours-¹1 (a) A certain order was submitted to first specialist 10 minutes ago, and what is the probability that it is still not ready? (b) A certain order was submitted 10 minutes ago, and it is still not ready. What is the probability that the second specialist is working on it?Cyclic neutropenia is a blood disorder in humans characterized by periodic fluctuations in the density of a certain kind of blood cell called neutrophils. The density of neutrophils reaches highs of around 2000 cellsymL of blood and lows near zero. The period of fluctuations is approximately three weeks. Model the temporal dynamics of neutrophils in days, assuming that the density is at its highest on day 0.Vehicle breakdowns are equally likely to occur at any point on a 10 kilometer stretch of a given expressway. An emergency recovery truck is stationed at one end of this stretch of expressway. Assume that the recovery truck travels at a constant speed of 50 kilometers/hour. What is the expected (average) time taken for the recovery truck to reach a vehicle that breaks down on this stretch of expressway?