Question: Set A1 = F1. Then define the classes A2 and A3 instead of F2 and F3, respectively, by replacing finite intersections and finite unions by

Set A1 = F1. Then define the classes A2 and A3 instead of F2 and F3, respectively, by replacing finite intersections and finite unions by countable intersections and countable unions, respectively. Set A3 = A and examine whether or not A is σ-field.

Step by Step Solution

★★★★★

3.50 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let A A Then A i1Ai Ai A1 i A2 i with A1 i A2 i inA1 i 1 Then and this i... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

742-M-S-P (6776).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let W be an abstract set, and let C be an arbitrary nonempty class of subsets of W. Define the class F 1 to consists of all members of C as well as all of their complements; i.e., F 1 = {A W; A C...

For a finite set A of integers, let a (A) denote the sum of the elements of A. Then if U is a finite universe taken from Z+, Ap(U) (A) denotes the sum of all elements of all subsets of U. Determine...

Show that the following functions belong to R*[0, 1] by finding a function Fk that is continuous on [0, 1] and such that Fk(x) = fk(x) for x [0, 1]\Ek, for some finite set Ek. (a) f1(x) := (x + 1)/x...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

The Basics of Financial Mathematics Spring 2003 Richard F. Bass Department of Mathematics University of Connecticut c These notes are 2003 by Richard Bass. They may be used for personal use or class...

Convex geometry 0.1 Dehn-Sommerville relations In this section we will talk about convex polytopes. One possible denition of a convex polytope uses the notion of a half-space: A closed half-space in...

Calculate the Weighted Average Cost of Capital for Lowes (LOW) using the data available on Yahoo Finance and the pictures attached . The historical yield on a 10 year Treasury Bond is 3% & the equity...

Perform the estimation process for all earthworks for the assigned project. A sample of the arrangement of the solutions is presented below. ITEM TO BE ESTIMATED EQUATION VALUE PLUG-IN SIMPLIFY FINAL...

I need to define the ItemFsvoritesList class which uses Java's ArrayList as underlying storage. I wrote my code which its output is different from the output it should be. Please see below. Which...

Enter the observed and starting forecast demand in the blue cells. Enter the desired smoothing constant alpha in the green cell B C D E F G H I J K L M N O P Q R S T 7 Forecast Exponential Smoothing...

Ceramic Painting prepares and packages paint products. Ceramic Painting has two departments: Blending and Packaging. Direct materials are added at the beginning of the blending process (dyes) and at...

QUESTION 1 TASK: You are making an embedded system for the futuristic McDonald's ice cream machine that has a built-in cash register. Your program will take inputs int R1, R2 and R3. R1 is the amount...

if an average home in your town curreently costs 2 5 0 0 0 0 0 and house prices are expected to grow at an average rate of 3 percent per year, what will the cost in eight years?

Compare and contrast factoring and forfaiting.

Thickness measurements of a coating process are made to the nearest hundredth of a millimeter. The thickness measurements are uniformly distributed with values 0.15, 0.16, 0.17, 0.18, and 0.19....

Product codes of 2, 3, or 4 letters are equally likely. What is the mean and standard deviation of the number of letters in 100 codes?

The lengths of plate glass parts are measured to the nearest tenth of a millimeter. The lengths are uniformly distributed, with values at every tenth of a millimeter starting at 590.0 and continuing...

The First Bank of Flagstaff has issued perpetual preferred stock with a $100 par value. The bank pays a quarterly dividend of $1.65 on this stock. What is the current price of this preferred stock...

2. Do Double Stuf Oreo cookies live up to their name? A group of statistics students decided to find out. They randomly selected 60 Double Stuf Oreos and 60 regular Oreos from packages purchased at...

The most likely outcomes for a particular project are estimated as follows: Unit price: $50 Variable cost: $30 Fixed cost: $500,000 Expected sales: 49,000 units per year However, you recognize that...