Determining the onvolution formula

Assignment Help Mathematics
Reference no: EM131160427

Suppose X ∼ Exp(λ) and Y ∼ Exp(µ) are independent. Assume that λ 6= µ.

a). Let T = X + Y . Find fT (t) by using a convolution formula.

b). Let W = Y/X. Find fW (w).

Reference no: EM131160427

Questions Cloud

What is the discounted value : What is the discounted value of $1480 paid at the end of each year for nine years if interest is 5% compounded quarterly?
Technological innovations will cause : Technological innovations will cause:
Should louisville accept this one time special order : Louisville Corporation produces baseball bats for kids that it sells for $32 each.- Should Louisville accept this one-time special order? Show your calculations.
Bang for the buck of various items : If consumers are rational, they will attempt to equate the "bang for the buck" of various items that contribute to their satisfaction within the constraints of some budget. Equate the ration of ( price / marginal utility ) for each item in their budg..
Determining the onvolution formula : Suppose X ∼ Exp(λ) and Y ∼ Exp(µ) are independent. Assume that λ 6= µ. a). Let T = X + Y . Find fT (t) by using a convolution formula.
What is your optimal price and expected profit : Suppose that you have 2 buyers. The first buyer values your product at $10, and the second buyer values your product at $6. You estimate that the probability of getting a high valued customer is 40%. Your marginal costs are $3. What is your optimal p..
Provide details stating why the details in the business case : Must provide details stating why the details in the business case template are there and how this represents the corpus of data that would be submitted to obtain funding and project approval to get a project started.
Calculate the car depreciation and this year cost per mile : Rocky bought a used car four years ago for $4,590.00 cash (Rocky did not take out a car loan). Currently the car is valued at &2,227.00. This year Rocky drove his car 9,999 miles. He paid $977.12 for his annual insurance and $101.00 for the car's reg..
Total in the savings account : 1) What will deposits of $50 made at the end of each month amount to after 8 years if interest is 5.1% compounded monthly? 2) William has saved $400 per quarter for the last three years in a savings account earning 5.0% compounded quarterly. He pla..

Reviews

Write a Review

Mathematics Questions & Answers

  What was the duration of loan

Jerry borrowed $10,657.50 from his bank to build an attached garage and work space on his house. Jerry's simple interest loan had a rate of 13% and required him to pay $12,250 under the agreed terms. What was the duration of his loan?

  Use equation editor to write mathematical expressions

To determine if two equations form lines that are perpendicular without graphing, you need to compare the slopes of the two lines. If they are indeed perpendicular, the slope of one line will be the negative reciprocal of the slope of the second line..

  Find a formula for the general term of a sequence

find a formula for the general term of a sequence , assuming that the pattern of the first few terms continues 1,6,16,31.

  Public officials effect on budgeting

What effect does the change in elected officials have on budgeting? What long-term effects might result from this change?

  Self-assessment of your leadership style and skills

Conduct a self-assessment of your leadership style and skills. You must reference at least two of the tools from thetext. You should also include at least three supportive references in your paper, with at least one being an outsidepeer-reviewed s..

  How big a piece of cardboard is needed

Squares from each corner and folding up the sides, as shown in the gure. The box is to hold 100 in3. How big a piece of cardboard is needed?

  Challenges in hiring

Write a clear report on the topic: Challenges in Hiring

  What is the expected number of times

On each play the probability of winning is 0.432 and of losing 0.568. If the gambler begins with $2, what is the expected number of times that he will play before quitting? (Round your answer to 3 decimal places.)

  What is the expected area of the resulting circular region

An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.

  Explain later flying against the wind

later flying against the wind, the plane travels 690 miles in 3 hours. find the speed of the plane in still air and the speed of the wind?

  Find the measure of the central angle

find the measure of the central angle if the lenght of the arc is 29.21 and the circumference is 40.44.

  What is the expected number of trials until a 10 appears

What is the probability that the number 10 will not appear until the 6th number and what is the expected number of trials until a 10 appears

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd