Show that E(X) = B - A B F (x) dx, where F (x) is the

Question:

Show that E(X) = B - ∫_A^BF (x) dx, where F (x) is the cumulative distribution function for X on A ≤ x ≤ B.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus And Its Applications

ISBN: 9780134437774

14th Edition

Authors: Larry Goldstein, David Lay, David Schneider, Nakhle Asmar

See More Books

Question Posted: Apr 03, 2023 12:10 AM

See More Questions

The Jasper SkyTram transports passengers to the top of Whistler Mountain in the Canadian Rockies where there are spectacular views, boardwalks, and hiking trails. The SkyTram travel time (in minutes)...
The Cumulative distribution function for a CRV X is given by Fx (x) = K(2 - e*)u(x) 1. Find K 2. What is the probability that X lies in the interval 1 < X < 0? 3. What is the probability that X lies...
The discrete random quantity X has the following probability mass function: 1 .1 4 p(x) .2 .3 .4 1- Verify that p(x) is a valid pmf. And plot pmf graph. 2- Sketch the cumulative distribution function...
Modify BST to add a method rangeSearch () that takes two keys as arguments and returns an iterable over all keys that are between the two given keys. The running time should be proportional to the...
The following are quarterly data, in millions of dollars, of corporate revenues for a firm in the apparel industry from first quarter 2005 through first quarter 2007: 3.4, 4.5, 4.0, 5.0, 4.2, 5.4,...
Sticky Wicket (SW) manufactures cricket bats using high quality wood and skilled labour using mainly traditional manual techniques. The manufacturing department is a cost centre within the business...
The financial statements for the business of Trinhs Nail Supplies for the past two years are presented below. Additional information 1. All purchases and sales of inventories are on credit. All...
Vern Westby inherited a ticket from Anna Sjoblom, a survivor of the sinking of the Titanic, which had been pinned to the inside of her coat. He also inherited an album of postcards, some of which...
Vin Diesel owns Furious Barber Shop. He employs four barbers and pays each a base rate of $2,250 per month. One of the barbers serves as the manager and receives an extra $1,500 per month. In...
Let Z be a standard normal random variable. Find the number a such that Pr (a Z ) = .40.
The number of babies born each day in a certain hospital is Poisson distributed with = 6.9. (a) During a particular day, are 7 babies more likely to be born than 6 babies? (b) What is the...
Stine Hardware has four employees who are paid on an hourly basis plus time-and-a half for all hours worked in excess of 40 a week. Payroll data for the week ended March 15, 2012, are presented...
In January 2013, Wesley Erik Hawley met Denise T. Reed. The two became romantically involved in March 2013 and eventually were engaged to be married. Mr. Hawley was a widower and a thoroughbred horse...
Highland Marketplace obtained a $$28,000,000$ loan from First Community Bank in September 2007. The loan was secured by real estate located in Highland, Utah. Highland utilized the loan proceeds to...
Wawel Savings Bank entered into a loan agreement with Jersey Tractor Trailer Training (JTTT), Inc., for the amount of $315,000. In the agreement, JTTT pledged all capital equipment and assets of the...
In June 2014, Penn State Hershey Medical Center and PinnacleHealth System signed a letter of intent for a proposed merger. Hershey is located in Hershey, in Dauphin County in Pennsylvania and...
Afzal Lokhandwala owns and operates eight KFC franchises in Illinois. Each franchise operates under an identical franchise agreement. Lokhandwala says he identified selling Halal chicken as a...
Furniture City bought chairs for $75 less 33 13%, 20%, and 10%. The stores overhead is 75% of cost and net profit is 25% of cost. (a) What is the regular selling price of the chairs? (b) At what...
For the given transfer function: Vo(s) / Vi(s) = (s^2C^2R^2 + 1) / (s^2C^2R^2 + 4sCR + 1) Assumiing that 1/(CR) = 120 PI so write the matlab code to find the magnitude plot
During the 2016 presidential campaign, an NBC News/Wall Street Journal poll conducted between December, 16, 2015, and January 13, 2016, showed that Marco Rubio would beat Hillary Clinton in the...
If the manager at First City Bank surveys a sample of 100 customers to determine how many miles they live from the bank, is the mean travel distance for this sample a parameter or a statistic?...
As part of a consulting project for a local ABC television affiliate, a survey was conducted with 744 respondents. Of those responding, 32% indicated that they prefer to watch local news on this...
You need to estimate the value of Laputa Aviation. You have the following forecasts (in millions of dollars) of its profits and of its f investments in new plant and working capital: Year 1 2 3 4...
Focusing on the sources of cash receipts occurring in relation to your client's business, can you build a cash receipts budget for an age home care to form part of the Cash Budget.
Tytos borrowed $16,500 to pay for the wedding of his daughter, Genna, to Emmon Frey. Tytos repaid the loan after 3 years with a single payment of $19,224. Assuming the interest compounded monthly,...

Show that E(X) = B - A B F (x) dx, where F (x) is the

Question:

Step by Step Answer:

B By definition FX xf x dx ...View the full answer

Calculus And Its Applications

Students also viewed these Mathematics questions