Question: Use the Laplace transform approach to find the renewal function corre- sponding to the interarrival density f(x) =xe-t x > 0. Consider a renewal

Use the Laplace transform approach to find the renewal function corre- sponding

Use the Laplace transform approach to find the renewal function corre- sponding to the interarrival density f(x) =xe-t x > 0. Consider a renewal process with interarrival density given by f(x)=2(e-e-21) t> 0. (a) What is this density? (b) Find the renewal function M(t). (c) Compute -A)} and verify that this limit is given by Equation limM(t)- 118

Step by Step Solution

★★★★★

3.45 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a This density is an Erlang distribution with shape p... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Consider a two-part process with an expansion from 0.1 to 0.2 m3 at a constant pressure of 150 kPa followed by an expansion from 0.2 to 0.4 m3 with a linearly rising pressure from 150 kPa ending at...

Consider a birth-and-death process with just three attainable states (0, 1, and 2), for which the steady-state probabilities are P0, P1, and P2, respectively. The birth-and-death rates are summarized...

Use the Laplace transform to find i(t) for t > 0 if i(0) = 0 , i'(0) = 3 dt dt

Just as Fouriers law and the heat balance can be employed to characterize temperature distribution, analogous relationships are available to model field problems in other areas of engineering. For...

Find the real solutions, if any, of each equation. Use the quadratic formula. 3.x x - 2 + x = 4

Use the differential equation approach to find i(t) for t > 0 in the circuit in Fig. P.16 and plot the response including the time interval just prior to switch movement. t=0 12V 0.2nH 4 2 mA it)

In Exercises 1-4, use the graph of f (x) = 2 / x to sketch the graph of g. 1. g (x) = 2 / x + 4 2. f (x) = 2 / x - 4 3. g (x) = - 2 / x 4. g (x) = 1 / x + 2 f(x) = 2/3 2.

In Exercise 3.101 on page 108, the price of a certain commodity (in dollars) and its total sales (in 10,000 units) were denoted by P and S. Use the joint density given in that exercise and the...

(a) The Laplace transform of Î± piece wise continuous function f(t) with period p is Prove this theorem. Write « 0 = « p 0 + « 2p p + . . .. Set t = (n - 1)p in the nth...

The differential equation model for a certain speed control system for a vehicle is where the actual speed is , the desired speed is d (t), and K p and K I are constants called the control gains....

1. A man is stranded in the middle of an ice rink that is perfectly frictionless. How can he get to the edge? 2. A girl jumps from a boat to a dock. Why does she have to jump more energy than she...

State what happens when a platinum electrode in an aqueous solution containing both Fe2+and Ni2+ ions at unit activity is made the cathode of an electrolysis cell.

during the month, compute the amount of under - or overapplied overhead: Multiplenchoice $ 2 , 8 0 0 underapplied. $ 2 , 8 0 0 overapplied. $ 1 7 , 8 0 0 underapplied. $ 1 7 , 8 0 0 overapplied. 3 $...

Donovan Ramsey, the Chief Financial Officer of LevelUp Business Consulting, has advised you that the company is considering closing its Calgary, Alberta office and transitioning the staff of that...

Here is a simplified diagram of a RF front end (power and control signals are not shown). 1. What kind of a system is it? What are the RF measurements you would use to characterize it and compare it...

Using the predictions made by the model on the "Prediction data (this year, active donors)" data set, if the Gabriel Hansen Foundation did not change its direct marketing strategy at all, and sent...

A parent company acquired 70% of the stock of a subsidiary company on January 1, 2017, for $610,000. On this date, the balances of the subsidiarys stockholders equity accounts were Common Stock,...

Charles Whyte commenced business on May 1 2019, making up his accounts to September 30 annually. The statement of the Profit or Loss Account for the first 17 months ended September 30,2020 is as...

One feature about the data that does differ from prior statistics is that we will have two values from each subject in our sample. So, we will need both an X distribution and Y distribution to...

Solve for y(t) for the following system represented in state space, where u(t) is the unit step. Use the Laplace transform approach to solve the state equation. -3 1 01 X = |0 -6 1 x+1 u(t) 0 0 -5 y...

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 1/' - 47 + 4y = 0 3/(0) = -2, 1/(0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y =...

The Clohessey-Wiltshire equations model what happens when two orbiting bodies are close to each other. Typically, one spacecraft is fixed as the primary craft, which is called the target, and the...

Please show all of your work. The question asks to solve the Initial Value Problem using the LaPlace y"(* +r)y+rry=0, y(0) = yoy(0) = y;'. (3) transform Assuming above that r2 > > 0 and then come...

HELP ME IN THIS PROBLEMS Use Definition 7.1.1. Definition 7.1.1 Laplace Transform f(t ) = 10, cos(t), Ost 0)Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t...

(1 point) Transform the differential equation 5y" 5y' + 3y = = cosh(at) y(0) = -1 y' = 8 into an algebraic equation by taking the Laplace transform of each side. = Therefore Y = (1 point) Use the...