Determine when the following steady states are stable
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In this question, given that
Determine when this scheme is stable.
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- 5. In a bakery everyday bread loafs are prepared and sold. They start the business in the morning by 6 am and close the business by 8 pm. All the loafs are sold and a small portion is wasted in the process of handling. But they close the day with zero loafs on hand. On an average, every day they prepare 1650 loafs. The owner wishes to calculate the constant transition intensity over this period covering both sales and wastages. If the true transition intensity is 0.2, what is the probability that you observe a hazard rate in excess of 0.25?Consider the following transition matrix:a. Draw the transition diagramb. Define the state classes.c. Determine both recurrent and transient states9.2 8 see attachment
- 8.Which of the following can be accurately described by a “deterministic” model, that is, a model which does not require any concept of probability? (a) The position of a small particle in space (b) The velocity of an object dropped from the leaning tower of Pisa (c) The lifetime of a heavy smoker (d) The value of a stock which was purchased for $20 one month ago (e) The number of servers at a large data center which crash on a given day.ts) Determine the steady-state availability for a system consisting of one active and two standby components. All units have identical failure rates and repair rates with only a single repair crew available and no failures in standby, as implied by the following rate diagram. In state 1 the active component is on-line, in state 2 the first backup is on-line, in state 3 the second backup is on-line, and in state 4 all three components have failed. Derive the steady-state equations and determine the steady-state availability if the failure rate is 2 per week and the repair rate is 5 per week. 7.
- Consider the discrete time model for population growth: Na+1 = Ne"(1-N,) with r > 0. (a) Find all steady states. (b) Discuss the stability of each steady state.In the B&K model of Example 18.5-1, suppose that the interarrival time at the checkout area is exponential with mean 5 minutes and that the checkout time per customer is also exponential with mean 10 minutes. Suppose further that will add a fourth counter. Counters 1,2, and 3 will open based on increments of two customers and counter 4 will open when there are 7 or more in the store. (a) The steady-state probabilities, for all . (b) The probability that a fourth counter will be needed. (c) The average number of idle counters.Mark Question 15 What will happen to the equilibrium price and quantity of new cars if the price of gasoline rises, the price of steet rises public transportation becomes cheaper and more comfortable, and auto workers negotiate higher wages? Select one: Quantity will fall, and the effect on price is anonbique b. Price will fall and the effect on quantity is ambiguous C. Price will rise, and the effect on quantity is ambiguous d Quantity will rise, and the effect on price is snonfique
- Freddy is the owner of Freddy’s fast fuel for Small Aircraft specializing in “Providing flight fit fantastic fuel” for small general aviation aircraft such as a Cessna 172. Freddy is experimenting with a fueling process involving new equipment and is trying to determine if the current process takes more time than the new process with the new equipment he is experimenting with. If the current process takes more time than the new process, Freddy will purchase some new, rather expensive fueling equipment to use across several small general aviation airports his company services. Freddy is comparing sample mean times to evaluate his hypothesis about the population (total number of aircraft fuel fill-ups). Over the period of a week, he took a random sample of fuel fill-up times using both the old and new processes. Using the information Freddy provided, you ran a t-test for independent samples. These are the results (α = .05). t-Test: Two-Sample Assuming Unequal Variance Current…Suppose the Stiglerian economy is described by the following: Production function) Y = Investment function) I = 0.1Y Depreciation function) D = .02K Calculate the steady-state of capital and output