Let X 1 , X 2 , X 3 , be a sequence of continuous random variable such that Show that X n converges in probability to 0 fxn (x) nx 0 x otherwise...

Since the sequence of random variables X1 X2 X3 is continuous we can use the following theorem ...

Let X 1 , X 2 , X 3 , be a sequence of continuous random

Question:

Let X₁, X₂, X₃, ⋯ be a sequence of continuous random variable such that fxn (x) nx 0 x > otherwise

Show that X_n converges in probability to 0.

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

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Probability Statistics And Random Processes

ISBN: 9780990637202

1st Edition

Authors: Hossein Pishro-Nik

See More Books

Question Posted: Oct 27, 2023 02:35 AM

See More Questions

Let X 1 , X 2 , X 3 , be a sequence of continuous random variable such that Show that X n converges in probability to 0. n fxn (ax) = "e-. -ll. e 2
Kracker, Foodstuff Inc., and Winston Stores Inc. are three large grocery chains. Inventory management is an important aspect of the grocery retail business. Recent balance sheets for these three...
Express the following directions by two other means; set up and fill in a table with three columns, one for bearing, one for azimuthN (AzimN), and one for azimuths (Azims): a. N 3040'E b. AzimN...
Amy jolly is the treasurer of her company. She expects the company will grow at 4 percent in the future, and debt securities (YTM = 14%, tax rate = 30%) will always be a cheaper option to finance the...
Give examples of how HR management concepts and techniques can be of use to all managers.
The following data come from a study in which random samples of the employees of three government agencies were asked questions about their pension plan: Use the 0.01 level of significance to test...
B-You is a consulting firm that works with managers to improve their interpersonal skills. Recently, a representative of a high-tech research firm approached B-Yous owner with an offer to contract...
Poehling Medical Center has a single operating room that is used by local physicians to perform surgical procedures. The cost of using the operating room is accumulated by each patient procedure and...
Let Y 1 , Y 2 , Y 3 , be a sequence of i.i.d. random variables with mean EY i = and finite variance Var(Y i ) = 2 . Define the sequence {X n ,n = 2, 3, . . . } as Xn = YY2 + Y2Y3+ Yn-1Yn + YY ....
Consider a sequence {X n ,n = 1, 2, 3,} such that Show that X n a.s. 0. Xn n n with probability with probability
Why do the transition elements 1Z = 21 to 302 all have similar chemical properties?
Half of the respondents polled in 10 cities said that traffic congestion increased their stress levels and cut their productivity. IBM has been devising ways for cities to cut traffic congestion,...
As more people buy Internet service, the price of Internet service will fall. The fall in the price of Internet service will lead to a fall in the wage rate paid to Web page designers. Is this...
Starting with the industry in long-run equilibrium, explain how the increase in the demand for maple syrup, other things remaining the same, affects the maple syrup market and an individual producer...
Its hard to put a price on happiness, but if youve ever had to choose between a job you like and a better-paying one that you like less, youd like to know what job satisfaction is worth. John...
Rising grain prices have started to impact the price of breakfast for millions of Americanscereal prices are rising. Explain how the rising price of grain affects the average total cost and marginal...
Scholl Company records prepaid assets and unearned revenues in balance sheet accounts. The following information was used to prepare adjusting entries for Scholl Company as of August 31, the end of...
If your school has a subscription to the FASB Codification, go to aaahq.org/ ascLogin.cfm to log in and prepare responses to the following. (a) What is the stock dividend? (b) What is a stock split?...
For the kinds of business products described in this chapter, complete the following table (be brief, use one or a few well-chosen words). 1. Kind of distribution facility( ies ) needed and functions...
Wholesteen Dairy, Inc., produces and sells Wholesteen brand condensed milk to grocery retailers. The overall market for condensed milk is fairly flat, and theres sharp competition among dairies for...
Explain how industry sales and industry profits behave over the product life cycle.
Explain Independent contractors, and the duties performed by them.
Restorative Justice is a controversial form of punishment. Do you believe Restorative Justice will reduce crime? Please explain in details.
Toni is a support worker and today she noticed that there appeared to be some tension in the work lunch room. Toni noticed that Lucinda and Jack were both behaving strangely. She didnt think anything...

Let X 1 , X 2 , X 3 , be a sequence of continuous random

Question:

fxn (x) nx² 0 x > otherwise

Step by Step Answer:

Since the sequence of random variables X1 X2 X3 is continuous we can use the following theorem ...View the full answer

Introduction To Probability Statistics And Random Processes

Students also viewed these Business questions