Verify that f is a probability function

Assignment Help Mathematics
Reference no: EM131139222

Given the fact that P(a ≤ x ≤ b) = abf(x)dx and that -∞f(x)dx = 1. This means that all probabilities lie between 0 and 1.

Show that f(x) = xe-x if x ≥ 0 and f(x) = 0 if x < 0. Verify that f is a probability function.

Reference no: EM131139222

Questions Cloud

Identify and explain each of the principles : Certain principles should be followed in the development of an accounting information system. Identify and explain each of the principles.
What is an accounting information system : (a) What is an accounting information system? (b) An accounting information system applies only to a manual system. Do you agree? Explain.
Where is the united states in the business cycle : Go to the Bureau of Economic Analysis at this Web site, and look up the latest new release for real GDP. Address the following questions after reading the latest release:
Companies must report or disclose : You were involved in an auto accident in which you were at fault. There is the possibility that you may have to pay as much as $50,000 as part of a settlement. The issue will not be resolved before the bank processes your mortgage request.
Verify that f is a probability function : Given the fact that P(a ≤ x ≤ b) = a∫bf(x)dx and that -∞∫∞f(x)dx = 1. This means that all probabilities lie between 0 and 1. Show that f(x) = xe-x if x ≥ 0 and f(x) = 0 if x
What happens in a recessionary phase of the business cycle : Discuss what happens in a recessionary phase of the business cycle with respect to borrowing, liquidity and psychological outlook.
What are the characteristics of a pc firm : Using Hot Dogs, Graph the market and the individual supply, demand and costs for Hot dogs side by side. Make sure to include the S.R. and L.R profits
What will be the effect on the level of investment by firms : What happens to the equilibrium real interest rate and the quantity of loanable funds? What will be the effect on the level of investment by firms and the economy's capital stock in the future?
In reviewing the accounts of keri ann company : Write a memo to Keri Ann Nickels, the owner of Keri Ann Co. that explains the following: the nature and purpose of adjusting entries, why adjusting entries are needed, and the types of adjusting entries that may be made.

Reviews

Write a Review

Mathematics Questions & Answers

  Estimate the relative error in the calculated surface area

Estimate the relative error in the calculated surface area.

  Find the safe speed for such an inclination

The radius of curvature of a road at a certain turn is 50m . The width of the road is 1 Om and its outer edge is 1.5m higher than the inner edge. Find the safe speed for such an inclination.

  How much interest will ken have to pay after paying back

Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?

  What is the rate of ascent in that direction

What angle above the horizontal does the path in that direction begin - What is the rate of ascent in that direction?

  What is the speed of the wind

A certain aircraft can fly 1064 miles with the wind in 4 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?

  Determine the probability can will yield between 250 and

the number of seconds of continuous spray yielded by cans of a brand of outdoor fogger is normally distributed with a

  Which slope would be most attractive to you and why

If you were buying a home in this particular city, which slope would be most attractive to you and why?

  Compute the standard deviation

compute the standard deviation and range for the durationof hospitalization for the 25 patients.

  Find the values of h and l that maximise the tent volume

Consider an asymmetric tent design of length l that is comprised of a vertical section of height h, connected to a diagonal section, The volume of the tent is hl2/2. For a fixed area of tent material A, find the values of h and l that maximise the t..

  How do you use percentages

we need to compare the demographics of our results to the demographics of the population. One way we can do that is with percentages.

  Statistics- linear and multilinear regressions

Statistics: linear and multilinear regressions, The personnel director for a local manufacturing firm has received complaints from the employees in a certain shop regarding what they perceive to be inequities in the annual salary for employees who..

  What is the maximum area of each pasture

A rancher has 60,000 linear feet of fencing and wants to enclose a rectangular field and then divide it into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?

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