We come back to Section 2.2. Show that the function fS(x) = ex/2 ex for x

Question:

We come back to Section 2.2. Show that the function fS(x) = e−x/2 −e−x for x ≥ 0 and = 0 otherwise is a probability density; that is, it is non-negative and the total integral is one.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

See More Books

Question Posted: Jan 11, 2024 09:02 AM

See More Questions

The hydrogen atom is composed of one proton in the nucleus and one electron, which moves about the nucleus. In the quantum theory of atomic structure, it is assumed that the electron does not move in...
Show that the function is a probability density function. f (x) = { 200/x3 of x 10 0 otherwise
A spinner from a board game randomly indicates a real number between 0 and 10. The spinner is fair in the sense that it indicates a number in a given interval with the same probability as it...
How does national culture relate to business structures?
A three-phase diode bridge is supplied by a three-phase autotransformer such that the line-to line input voltage to the bridge can be varied from zero to 230 V. The output of the bridge is connected...
(a) Find the approximations T8 and M2 for 1 cos(x2) dx. (b) Estimate the errors involved in the approximations of part (a). (c) How large do we have to choose so that the approximations Tn and Mn to...
A weir of trapezoidal cross section is used to measure the flowrate in a channel as shown in Fig. P3.130. If the flowrate is $Q_{0}$ when $H=\ell / 2$, what flowrate is expected when $H=\ell$ ?...
How should Mr. Kitchen approach the current situation? What are the strengths and weaknesses of Trip 7?
A light source is located 1.55m below the surface of a swimming pool and 0.545m from one edge of the pool. At what angle does the light reaching the edge of the pool leave the water? You have a piece...
Using the method of m.g.f.s, find the density of the sum of two independent exponential r.v.s with means 2 and 3, respectively.
Prove that the sum of independent Poisson r.v.s is Poisson by the method of m.g.f.s.
Identify reasonable values for M12 and M22 in the example on quantity discounts presented in section 6.15.2 of this chapter.
Is some number of occupational illnesses and injuries an acceptable part of doing business? Why or why not? Explain your answers.
Would you rather work on a commission basis if you were in sales, or would you rather have a salaryor a combination of both? Why?
ActioNet was founded in 1998 by president and CEO Ashley Chen. Key customers have included Qwest, the Department of Energy, and the Department of Labor. ActioNet provides information technology...
Is there anything that an individual within an organization can do to help improve relations among diverse workers? If so, what?
Who would you rather assign to manage a foreign office of your business? Would you rather have a home-country, host-country, or third-country national? Why?
Return to the facts of problem 39. Assume that Jeremy dies when the passive activity has a fair market value of $25,000. What is the effect on Jeremy's taxable income for the year he dies?
Catalytic hydrogenation of naphthalene over PdC results in rapid addition of 2 moles of H 2 . Propose a structure for this product.
After a brief illness, Bill died. Bills employer paid $20,000 to his widow. The corporation sent along a letter with the check indicating that $5,000 represented payment for Bills accrued vacation...
For each of the following cases, indicate the amount of the foreign-earned income exclusion. (Disregard the effect of exemptions for certain allowances under Sec. 912.) a. Sam, a U.S. citizen, is an...
On January 5, 2017 Rita left the United States for Germany, where she had accepted an appointment as vice president of foreign operations. Her employer, USA Corporation, told her the assignment would...
Pacific Corporation assembles bicycles by purchasing various suppliers' frames, wheels, and other parts. The assembled bicycles are sold to mass retailers in the western part of the United States....
Jack, a geologist, had been debating for years whether or not to venture out on his own and operate his own business. He had developed a lot of solid relationships with clients, and he believed that...
Imperial Jewelers manufactures and sells a gold bracelet for $403.00. The companys accounting system says the unit product cost for this bracelet is $258.00, as shown below: Direct materials $ 141...

We come back to Section 2.2. Show that the function fS(x) = ex/2 ex for x

Question:

Step by Step Answer:

The function fsx ...View the full answer

Probability And Stochastic Modeling

Students also viewed these Business questions