If X is a random variable, then the variance of aX equals a2 times the variance of

Question:

If X is a random variable, then the variance of aX equals a2 times the variance of X. Verify this result for the random variable in Exercise 2 with a = 2.

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

Step by Step Answer:

Related Book For book-img-for-question

Finite Mathematics and Its Applications

ISBN: 978-0134768632

12th edition

Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

See More Books

Question Posted: Feb 12, 2018 09:04 AM

See More Questions

Show that if X is a random variable having the Poisson distribution with the parameter and , then the moment-generating function of Z = X / That is, that of a standardized Poisson random...
Let Î± and Î² be any two constants such that a The base of the rectangle has length Î² Î± and the height of the rectangle is 1/ ( Î²...
Consider the Cauchy family defined in Section 3.3. This family can be extended to a location-scale family yielding pdfs of the form The mean and variance do not exist for the Cauchy distribution. So...
Let y be a variable that takes 0 or 1 value. Write an inequality to describe if y = 0, then x can take value from 0 to 5 and if y = 1, then x can take value 0. We are given 3 options. We are allowed...
In the circuit shown in Fig. all meters are idealized and the batteries have no appreciable internal resistance. (a) Find the reading of the voltmeter with the switch S open. Which point is at a...
How do managers adeptly navigate geopolitical uncertainties and regulatory complexities, leveraging sophisticated geopolitical analyses to inform strategic decision-making and risk management...
Define anti-patterns, functional decomposition and the relationship between them.
1. Document the effects of the GAAP differences in the 20F by doing the following: a. For the current year, calculate the percentage change for net income and for total shareholders equity indicated...
How does the standard define relevance and reliability? What must an auditor do if conditions indicate that a document may not be authentic or the terms in a document have been modified but that the...
Wilson Dynamics makes flanges in a continuous process through two departments: Forging and Assembly. All direct materials are added at the beginning of the process in the Forging Department, whereas...
If X is a random variable, then the variance of X equals the variance of X - a for any number a. Redo below Exercise, using this result with a = 70.
If X is a random variable, then E(X - a) = E(X ) - a and E(aX ) = aE(X ) for any number a. Give intuitive justifications of these results
A small earthquake starts a lamppost vibrating back and forth. The amplitude of the vibration of the top of the lamp- post is 6.5 cm at the moment the quake stops, and 8.0 s later it is 1.8 cm. a....
True Or False Courts uniformly agree that implied warranties of merchantability apply to sales of food and drink, services, and real estate transactions.
What are the key features that shape defamation law?
True Or False A person may recover for breach of express warranty even without privity with the seller.
True Or False Strict liability is applicable to private individuals who sell defective goods and to sellers of used goods.
In a strict liability case a. a plaintiff is not required to prove cause in fact or proximate cause. b. an act will not be considered a superseding cause of the plaintiffs injury if the act was...
Find the centroid of the region shown. (4, 2)
The cost curve for the city water supply is C(Q) = 16 + 1/4 Q2, where Q is the amount of water supplied and C(Q) is the cost of providing Q acre-feet of water. (An acre-foot is the amount of water...
Let X be a random variable distributed uniformly over [0, 20]. Define a new random variable Y by Y = [X] (the greatest integer in X). Find the expected value of Y. Do the same for Z = [X + .5]....
Let X and Y be random variables. The covariance Cov(X, Y) is defined by (see Exercise 6.2.23) cov (X, Y) = E((X (X))(Y (Y))) . (a) Show that cov(X, Y) = E (XY) E(X) E(Y). (b) Using (a), show that...
Let X and Y be independent random variables with uniform densities in [0, 1]. Let Z = X + Y and W = X Y. Find (a) p (X, Y ) (see Exercise 18). (b) p (X,Z). (c) p (Y,W). (d) p (Z,W).
Based on the introductory in Public Finance, what do you think must be the main role of the government in our individual lives? Any references will do, as long as the answer is related to question...
Apercu Industries borrowed $92,350 for 200 days at 15% simple interest. Find the total interest they will pay (a) using bankers' rule and (b) using the exact method.
On January 4th, Mark went to the hospital to have an appendectomy. His deductible is $2,500 and since it is the beginning of the year, he has not contributed anything to the deductible yet. The total...

If X is a random variable, then the variance of aX equals a2 times the variance of

Question:

Step by Step Answer:

2X Probability ...View the full answer

Finite Mathematics and Its Applications

Students also viewed these Statistics questions