Let X U(a, b). Use the definition of the variance of a continuous random variable (Equation

Question:

Let X ∼ U(a, b). Use the definition of the variance of a continuous random variable (Equation 2.36 or 2.37) to show that σ2X = (b − a)2/12.

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

Step by Step Answer:

Related Book For book-img-for-question

Statistics For Engineers And Scientists

ISBN: 9780073376332

3rd Edition

Authors: William Navidi

See More Books

Question Posted: May 17, 2016 07:46 AM

See More Questions

Let f(x) = x2. (a) Estimate the values of f (0),f(), f(1), and f(2)by using a graphing device to zoom in on the graph of f. (b) Use symmetry to deduce the values of f (-1/2), f (-1), and f (-2). (c)...
Let f(x) = x3. (a) Estimate the values of f (0), f(), f(1), and f(2) and f (3) by using a graphing device to zoom in on the graph of f. (b) Use symmetry to deduce the values of f (-1/2), f (-1), and...
Let (a) Use the definition of derivative to compute f(0). (b) Show that f has derivatives of all orders that are defined on R. le- f() = if x0 %3D if x= 0 0.
The comparative balance sheet of Beets Industries, Inc. at December 31, 2013 and 2012, is as follows: An examination of the income statement and the accounting records revealed the following...
Whispering Pines, Inc., is all-equity-financed. The expected rate of return on the companys shares is 12%. a. What is the opportunity cost of capital for an average-risk Whispering Pines investment?...
A hotel housekeeper, Alison Harvey, was observed five time son each of four task elements, as shown in the following table. On the basis of these observations, find the standard time for the process....
With reference to the preceding exercise, test the null hypothesis $\beta=0.75$ against the alternative hypothesis $\beta <0.75$ at the 0.10 level of significance.
Prepare year-end adjusting entries for each of the following: 1. Office Supplies has a balance of $336 on January 1, Purchases debited to Office Supplies during the year amount to $1,660. A year-end...
Timter Company uses a normal job-order costing system. The company has two departments through which most jobs pass. Selected budgeted and actual data for the past year follow: Budgeted overhead...
What point defects are possible for Al2O3 as an impurity in MgO? How many Al3+ ions must be added to form each of these defects?
A system consists of two components connected in series. The system will fail when either of the two components fails. Let T be the time at which the system fails. Let X1 and X2 be the lifetimes of...
Let X ¼ U(a, b). a. Show that if x ¤ a then P(X ¤ x) = 0. b. Show that if x > b then P(X ¤ x) = 1. c. Show that if a (x a)/(b a). Conclude that the cumulative distribution...
The table below shows the population heights (in inches) and weights (in pounds) of the members of a basketball team. Find the coefficient of variation for the heights and the weights. Then compare...
Can someone please explain in detail the process of Symmetric Multiprocessing in multi-processing scheduling? I have already read multiple articles and documents, but I haven't been able to...
Explain about any two On-chip cache memories.? What is cache memory and explain its types? What is cache memory in OS?
Critique the adequacy and merit of vision and mission statements of an organization, listing effective elements and shortcomings. Show how those statements relate to the organization's management...
Suppose you would like to set up a $8,346 fund for a trip with your graduating class in 3 years from now. If your bank offers you 7% APR, how much must you deposit today to reach your goal? (Round...
Consider two cash flow diagrams below of pizza delivery truck options (Truck A and Truck B) that a local restaurant is considering to purchase. The economic lives of these trucks are 5 and 4 years...
Name the four main special journals.
Consider a game of poker being played with a standard 52-card deck (four suits, each of which has 13 different denominations of cards). At a certain point in the game, six cards have been exposed. Of...
The article Stochastic Estimates of Exposure and Cancer Risk from Carbon Tetrachloride Released to the Air from the Rocky Flats Plant (A. Rood, P. McGavran, et al., Risk Analysis, 2001:675695) models...
A commuter encounters four traffic lights each day on her way to work. Let X represent the number of these that are red lights. The probability mass function of X is as follows. What is the...
Find the following probabilities: a. P(X = 2) when X Bin(4, 0.6) b. P(X > 2) when X Bin(8, 0.2) c. P(X 2) when X Bin(5, 0.4) d. P(3 X 5) when X Bin(6, 0.7)
A steel cable that weighs 8 lb/ft is used to pull a 500 lb block of concrete from the ground to the top of a 120 ft tall building. Let x be the distance, in feet, from the block to the TOP of the...
Three metal fishing weights, each with a mass of 1.00102 g and at a temperature of 100.0C, are placed in 1.00102 g of water at 35.0C. The final temperature of the mixture is 45.0C. What is the...
A useful quantitative model for the grinding of lenses with known focal lengths is the lens-makers' equation: nlens environment 1) (1/4-1/2), where f is the focal length of the lens, the two index of...

Let X U(a, b). Use the definition of the variance of a continuous random variable (Equation

Question:

Step by Step Answer:

Now x6 ...View the full answer

Statistics For Engineers And Scientists

Students also viewed these Statistics questions