Let X1 and X2 be a pair of random variables. Show that the covariance between the random

Question:

Let X1 and X2 be a pair of random variables. Show that the covariance between the random variables
Y1 = (X1 + X2) and Y2 = (X1 - X2) is 0 if and only if X1 and X2 have the same variance.

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

Step by Step Answer:

Related Book For book-img-for-question

Statistics For Business And Economics

ISBN: 9780132745659

8th Edition

Authors: Paul Newbold, William Carlson, Betty Thorne

See More Books

Question Posted: Jul 07, 2015 03:19 AM

See More Questions

Let x1 and x2 be (b + 1)- bit binary numbers with magnitude less than 1. To compute the sum of x1 and x2 using twos-complements representation we treat them as (b + 1)-bit unsigned numbers, we...
Let X1 and X2 be as in Exercise 7. Find the p.d.f. of Y = X1 + X2.
Let X1 and X2 be discrete random variables with joint probability distribution find the probability distribution of the random variable Y = X1X2. 1,2,3, T1 = 1,2; 12 = f(21,22) 10, 16 elsewhere.
While you may not work for a large corporation, there is merit to the notion that the organization must speak with one voice and speak quickly in a crisis. What forces (tradition, practice, and...
Why and when would you want to use ANOVA in marketing research?
Discuss corporate tactics that can be used in a down economy to keep top talent.
In September 2008, XL Leisure Group, Britain's third-largest tour operator, filed for bankruptcy. A few months prior to filing for bankruptcy, the company had issued its audited financial statements....
World Fossil Fuel Regulation At the continued rate of extraction, in how many years is the UK Coal Energy coal from the Folen Mine likely to run out?
The personnel director of Dollar Finance Corp. must assign three recently hired college graduates to three regional offices. The three new loan officers are equally well qualified, so the decision...
An analyst forecasts corporate earnings, and her record is evaluated by comparing actual earnings with predicted earnings. Define the following: actual earnings = predicted earnings + forecast error....
Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. a. One student is chosen at random from this campus. What is the...
An ARM payment is an example of A. Fixed expense. B. Front-end ratio. C. PITI ratio. D. Variable expense.
An engine absorbs 1 . 6 8 1 . 6 8 kJ from a hot reservoir at 2 7 7 2 7 7 0 C and expels 1 . 1 8 1 . 1 8 kJ to a cold reservoir at 2 7 2 7 0 C in each cycle. ( ( a ) ) What is the engine's...
A n adult person pulls his two children sitting on a sled across the ice the mass of the sled is 2 0 0 kg the coefficient of static friction between the sled and ice is . 2 2 if the adult exerts a...
Suppose that a wave travels at 2 9 cm / s on a string that is 1 4 cm long, and whose mass is 1 7 7 g . Calculate the tension force in the string ( in N ) .
Explain the concept of speed .What are the units of speed? What does a speed of 5m/s mean?
What wavelength monochromatic source in the visible region ( 3 9 0 to 7 1 0 nm) can be used to constructively reflect off a soap film ( n= 1 . 4 6 ) if the film is 2 4 0 nm thick?
Consider a woman whose brother is afflicted with hemophilia, which implies that the womans mother has the hemophilia gene on one of her two X chromosomes (almost surely not both, since that is...
The Home Depot is the leading retailer in the home improvement industry and one of the 10largest retailers in the United States. The company included the following on its January 29, 2012, balance...
State whether each of the following variables is categorical or quantitative and indicate its measurement scale. a. Annual sales b. Soft drink size (small, medium, large) c. Employee classification...
a. Construct a time series graph for the years 2004 to 2007 showing the number of vehicles manufactured by each automotive company. Show the time series for all four manufacturers on the same graph....
The Food and Drug Administration (FDA) reported the number of new drugs approved over an eight-year period (The Wall Street Journal, January 12, 2004). Figure 1.9 provides a bar chart summarizing the...
Scenario: Yarning Circle and Talking Stick Sarah has recently been employed by Blue Bay Early Learning Centre. Sarah is very proud of having just achieved the Diploma of Children's Services and she...
The principal at your school decides to retire, and several well-qualified teachers on the staff apply for the position. Mr. England has been teaching for four years and has his administrator's...
Sandi's parents have been divorced since she was five years old. She is now seven. She lives with her mother and visits her father every other weekend. He brings her to school on Monday mornings...

Let X1 and X2 be a pair of random variables. Show that the covariance between the random

Question:

Step by Step Answer:

Cov X 1 X 2 X 1 X 2 EX 1 X 2 X 1 X 2 EX 1 ...View the full answer

Statistics For Business And Economics

Students also viewed these Statistics questions