If X is an exponential random variable with mean 1/, show that E[Xk] = k! / kk
Question:
E[Xk] = k! / λkk = 1, 2, . . .
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
k k 1 k ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
X is an exponential random variable with = .3. Find the following probabilities. a. P(X > 2) b. P(X < 4) c. P(1 < X < 2) d. P(X = 3)
-
X is an exponential random variable with = .25. Sketch the graph of the distribution of X by plotting and connecting the points representing f(x) for x = 0, 2, 4, 6, 8, 10, 15, 20.
-
Use the identity of Theoretical Exercise 5 to derive E[X2] when X is an exponential random variable with parameter . Theoretical Exercise 5 Use the result that, for a nonnegative random variable Y,...
-
How are Bit coins different from VCU1, VCU2, and VCU3 currencies? How are they similar? What is the primary economic threat of Bit coins?
-
The mean SAT math scores for selected states are represented below. Find the mean class, modal class, variance, and standard deviation, and comment on the shape of the data. Score Frequency 478504...
-
You use a _____________ to explicitly override an implicit type. a. Mistake b. Type cast c. Format d. Type set
-
Visit the Web sites listed here and write a report describing the information provided on each site about information security that would be most useful to an auditor: The SANS Institute...
-
You are the vice president of finance for Exploratory Resources, headquartered in Houston, Texas. In January 2010, your firms Canadian subsidiary obtained a six-month loan of 150,000 Canadian dollars...
-
Lambda transferred a non-depreciable capital property to a corporation. The fair market value of the property was $130,000 and its adjusted cost base to him was $40,000. As consideration for the...
-
Sketch vo for each network of Fig. 2.176 for the input shown. 20 V Ideal v Ideal -20 V
-
If X has hazard rate function X(t), compute the hazard rate function of aX where a is a positive constant.
-
Show that PIY > y} dy PIY < -y) dy E[Y] = J0 | P{Y < -y} dy = - xfy(x) dx | PIY > y) dy = xfr(x) dx
-
a. Will Jim now be able and want to buy 10 muffins and 20 coffees? b. Which situation does Jim prefer: muffins at $1 and coffee at $2 a cup or muffins at $1.50 and coffee at $1.75 a cup? Jim has made...
-
As part of the "GI Bill of Rights," veterans are able to obtain mortgage loans with little or no down payment and low interest rates, with loan to value ratios of up to %. Private lenders are...
-
Question 3 (4 points) Yoyo's is an ice cream manufacturer with an annual sales volume of 4,000 units. It costs them $2 dollars per unit and they sell at a price of $5 each. Fixed costs to run the...
-
4. Given f(x) = 8ex-3x a. [1 pts] Find the derivative
-
11. The Kamp family has twins, Rob and Rachel. Both Rob and Rachel graduated from college 2 years ago, and each is now sarning $50,000 per year. Rachel works in the retail industry, where the mean...
-
1.What is the break-even (NPV=0) annual incremental sales for the following investment? Initial investment at time t=0 is $2,400,000 Life of project is 12 years Initial investment depreciated to $0...
-
A direct-fired dryer burns a fuel oil with a lower heating value of 19,000(Btu) (lb m ) 1 . [Products of combustion are CO 2 (g) and H 2 O(g).] The composition of the oil is 85% carbon, 12% hydrogen,...
-
The Zwatch Company manufactures trendy, high-quality moderately priced watches. As Zwatch's senior financial analyst, you are asked to recommend a method of inventory costing. The CFO will use your...
-
Hedge funds are institutions that invest in a wide variety of instruments, from stocks and bonds to commodities and real estate. One of the reasons for the success of this industry is that it manages...
-
Show the probability distribution function of the face values of a single die when a fair die is rolled.
-
George Allen has asked you to analyze his stock portfolio, which contains 10 shares of stock D and 5 shares of stock C. The joint probability distribution of the stock prices is shown in Table 4.10....
-
Mr and Mrs Monash have hired your team of financial planners to consult on their intention to buy their next home. In 5 years time, they intend buy a 3 bedroom house in Caulfield to live in. They...
-
You've started a company to produce electrified selfie sticks. A stick will give you a mild electric shock whenever you try to take a selfie while your hand is shaking (e.g., if you are intoxicated)....
-
Morgan Corp. is studying the incremental cash flows of a pending replacement investment. In Year 1 , the new investment will increase cash revenues by $ 4 0 , 0 0 0 per year and reduce cash labor...
Study smarter with the SolutionInn App