Let f X (x) = A exp (-bx) u(x - 2) for all x where A and
Question:
Let fX(x) = A exp (-bx) u(x - 2) for all x where A and b are positive constants.
(a) Find the relationship between A and b such that this function is a pdf.
(b) Calculate E(X) for this random variable.
(c) Calculate E(X2) for this random variable.
(d) What is the variance of this random variable?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a The normalization of the pdf to unity provides th...View the full answer
Answered By
Charles mwangi
I am a postgraduate in chemistry (Industrial chemistry with management),with writing experience for more than 3 years.I have specialized in content development,questions,term papers and assignments.Majoring in chemistry,information science,management,human resource management,accounting,business law,marketing,psychology,excl expert ,education and engineering.I have tutored in other different platforms where my DNA includes three key aspects i.e,quality papers,timely and free from any academic malpractices.I frequently engage clients in each and every step to ensure quality service delivery.This is to ensure sustainability of the tutoring aspects as well as the credibility of the platform.
4.30+
2+ Reviews
10+ Question Solved
Related Book For
Principles of Communications Systems, Modulation and Noise
ISBN: 978-8126556793
7th edition
Authors: Rodger E. Ziemer, William H. Tranter
Question Posted:
Students also viewed these Physics questions
-
A particle moves in the plane xy with constant acceleration w directed along the negative y axis. The equation of motion of the particle has the form y = ax - bx2, where a and b are positive...
-
Vibration of a Covalently Bonded Molecule many diatomic (two-atom) molecules are bound together by covalent bonds that are much stronger than the van der Waals interaction. Examples include H., 0...
-
A radius vector of a point A relative to the origin varies with time t as r = ati - bt2j, where a and b are positive constants, and i and j are the unit vectors of the x and y axes. Find: (a) The...
-
The word culture is used in many ways, such as when people talk about national culture, organisational culture, political culture or youth culture. In which ways do the meanings of culture differ?
-
Suppose that instead of being highly inelastic, the demand for oil is highly elastic. a. Given the situation illustrated by the first graph in the Making the Connection on page 203, would the...
-
Compare an organizations vision and mission with its goals. LO6
-
Both IFCs are central not only for financial services, but also for other factors, like supply chain, exhibition business and logistics hub. Especially their deepwater container ports consistently...
-
Huggins Inc. experienced the following transactions for 2010, its first year of operations. 1. Issued common stock for $60,000 cash. 2. Purchased $210,000 of merchandise on account. 3. Sold...
-
The average annual return on the S&P 500 Index from 1996 to 2005 was 17.07 percent. The average annual T-bill yield during the same period was 4.07 percent. What was the market risk premium during...
-
1. How would you improve and/or change the following form and its contents? 2. Since there are only six employees in the company, how would you adapt the form to meet the needs of this small...
-
A nonlinear system has input X and output Y. The pdf for the input is Gaussian as given in Problem 6.16. Determine the pdf of the output, assuming that the nonlinear system has the following...
-
(a) Consider a random variable uniformly distributed between 0 and 2. Show that E(X 2 ) > E 2 (X). (b) Consider a random variable uniformly distributed between 0 and 4. Show that E(X 2 ) > E 2 (X)....
-
Mr. and Mrs. Rasuli would like to retire in 15 years at an annual income level that would be equivalent to $65,000 today. What is their retirement income goal if, in the meantime, the annual rate of...
-
For the data in Problem 42, how would you predict demand for medical kits using (a) moving averages and (b) exponential smoothing (with alpha values equal to 0.5 and greater) for the 21st week? Data...
-
For a light ray that crosses the interface between medium 1 having index of refraction \(n_{1}\) and medium 2 having index of refraction \(n_{2}\), what relationship between \(\theta_{1}\) and...
-
The atmosphere of the planet Venus is almost entirely composed of carbon dioxide (about 96.5 % carbon dioxide). The carbon dioxide on Venus might be in equilibrium with carbonate ions in minerals on...
-
Seniority quantum numbers typically measure how many fermions are in some sense "not paired" with another fermion. For the quasispin model of Problem 31.3 , define the Racah seniority $v$ through...
-
(a) Place a perfectly conducting sphere with radius a in a uniform electric field E 0 and let an origin centered electric dipole field represent the field produced by the sphere. Use this information...
-
Which of the functions graphed are one-to-one, and which are not? 0 y y=-3x X
-
Derive Eq. (18.33) from Eq. (18.32).
-
A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the jet is moving with a speed of 400 m/s. What is the jets acceleration,...
-
a. How many days will it take a spaceship to accelerate to the speed of light (3.0 10 8 m/s) with the acceleration g? b. How far will it travel during this interval? c. What fraction of a light year...
-
When you sneeze, the air in your lungs accelerates from rest to 150 km/h in approximately 0.50 s. What is the acceleration of the air in m/s 2 ?
-
Summarize in your own words Sharps, Treynors, and Jensens Measures for assessing portfolio performance with respect to risk. Assess the portfolio performance of mutual fund VDIGX taking into...
-
Question 1 Slat and Company have recently set up a business which will manufacture and sell a furniture component, the F12 On the 19 August 2021, the company issued 85,000 of share capital for cash....
-
The following is Addison Corporations contribution format income statements for last month. The company has no beginning or ending inventories. A total of 10,000 units were produced and sold last...
Study smarter with the SolutionInn App