Question: 43. Consider a renewal process having interarrival distribution F such that F (x) = 12 ex + 12 ex/2, x > 0 That is, interarrivals

43. Consider a renewal process having interarrival distribution F such that

¯F

(x) = 12 e−x + 12 e−x/2, x > 0 That is, interarrivals are equally likely to be exponential with mean 1 or exponential with mean 2.

(a) Without any calculations, guess the equilibrium distribution Fe.

(b) Verify your guess in part (a).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
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 Theory Of Probability Questions!

Q:

43. Consider a renewal process having interarrival distribution F such that F(x) = 1 2 ex + 1 2 ex/2, x> 0 That is, interarrivals are equally likely to be exponential with mean 1 or exponential with...

Q:

Consider a renewal process having interarrival distribution F such that F(x) = 1 2 ex + 1 2 ex/2, x > 0 That is, interarrivals are equally likely to be exponential with mean 1 or exponential with...

Q:

BA 1605: Midterm Recap (Due: Feb. 27, 2015) Name _____________________________ 50 Student ID _____________________________ Section 01B 10:00~11:20 am Section 02B 01:00~02:20 pm [Questions 4 ~ 7] The...

Q:

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Q:

Supply Chain Management Introduction Outline What is supply chain management? Significance of supply chain management. Push vs. Pull processes utdallas.edu/~metin 1 A Generic Supply Chain Sources:...

Q:

Probability and Statistics - Problem Set c Keith M. Chugg October 2, 2015 1 Preliminaries, Combinatorics, Set Probability 1.1. A number of bats are in a cave. 2 bats can see out of their left eye. 3...

Q:

4.4 Understanding the Principles 4.1 4.2 What is a random variable? How do discrete and continuous random variables differ? Applying the Concepts Basic 4.3 4.4 4.5 4.6 Type of Random Variable....

Q:

Math 104A Homework #3 Instructor: Lihui Chai General Instructions: Please write your homework papers neatly. You need to turn in both full printouts of your codes and the appropriate runs you made....

Q:

PRINTABLE VERSION Practice Final Exam Question 1 Give the slope of the line passing through the points ( 2 , -5 ) and ( 2 , -3 ). a) b) c) d) e) f) None of the above. Question 2 Give the equation of...

Q:

2.2 51 Summarizing Data for a Quantitative Variable Exercises Methods 11. Consider the following data. WEB 14 19 24 19 16 20 24 20 file Frequency a. b. SELF test 21 22 24 18 17 23 26 22 23 25 25 19...

Q:

A sphere of mass ms rests on the smooth parabolic surface. Determine the normal force it exerts on the surface and the mass mB of block B needed to hold it in the equilibrium position shown. Given:...

Q:

1. Determine the z-transform of each of the following signals using Z-transform and find its RoC. a. x[n]u[n+ 2]-u[n-5] b. x[n] = (-u[n-2] c. x[n] =(+ cos (+) u[n] d. x[n] 2"u[1-n] e. x[n] =...

Q:

Question 7 ( 1 point ) Listen After subtracting the minimum cash balance, if the cash budget of a firm shows the excess cash balance for the current month, the firm should irvest the excess cash in...

Q:

Find the volumes of the region. The region in the first octant bounded by the coordinate planes and the planes x + z = 1, y + 2z = 2 X

Q:

A television store owner figures that 50 percent of the customers entering his store will purchase an ordinary television set, 20 percent will purchase a color television set, and 30 percent will...

Q:

In Exercise 17, let X, denote the number of times the ith outcome appears, 1,..,. What is the probability mass function of

Q:

Show that when r2 the multinomial reduces to the binomial.

Q:

b. Calculate the average and sum of all the elements in a1. c. Create a random vector (with 47 elements) following a normal distribution (using morm function, look up the documentation) with a mean...

Q:

On October 1, 2020, Waterway Company issued a $105000, 8%, nine-month interest-bearing note. Assuming interest was accrued in June 30, 2021, the entry to record the payment of the note on July 1,...

Q:

22 Samuelson and Messenger (SAM) began 2021 with 400 units of its one product. These units were purchased near the end of 2020 for $25 each. During the month of January, 200 units were purchased on...