Enumerate the set, Applied Statistics

Grid is the set of pairs {1, 2, 3, 4} x {1, 2, 3, 4}.

Image is the power set of Grid.

An element of Image is a subset of Grid and can be represented by a diagram on a 4 by 4 grid (as in Figure).

Let A and B be the elements of Image, whose diagrams are as shown in Figure.

2368_Enumerate the set.png


(a) The set, A can be enumerated as below. Enumerate the set B in a similar way.
A = {(1,1), (2,1), (2,2), (3,2), (3, 3), (4, 3), (4,4)}

(b) Now suppose that A and B are variables of type Set of Pair of Int,Int whose states correspond to the diagrams shown in Figure 2. Each of the following method calls will then return a value of type Set of Pair of Int,Int. Give the diagram corresponding to each of the sets of pairs in (i)-(iii)

(i) A.intersect(B)

(ii) B.minus(A)

(iii) B.union(A)

(c) A set C is defined below by comprehension.

C = {(x,y) in Grid : (x == y) ∨ (y == x + 1)}

Enumerate the set C (as a set of pairs), and give its diagram.

(c) Suppose that the code fragment below is executed. The final state of mySet will be a set of pairs forming an element of Image. Give the corresponding diagram.

var mySet in Set of Pair of Int,Int

var p in Pair of Int,Int var x in Int

var y in Int

for (x <-- 1 to 4)

{

for (y <-- 1 to 4)

{

if ((x = = 4)\/(y = = 1)) then

{ p.setPair(x,y) mySet.addElement(p)

}

}

}

The diagrams required for this question can be included in an electronic document.

 

Posted Date: 3/7/2013 2:04:18 AM | Location : United States







Related Discussions:- Enumerate the set, Assignment Help, Ask Question on Enumerate the set, Get Answer, Expert's Help, Enumerate the set Discussions

Write discussion on Enumerate the set
Your posts are moderated
Related Questions
The Maju Supermarket stocks Munchies Cereal. Demand for Munchies is 4,000 boxes per year and the super market is open throughout the year. Each box costs $4 and it costs the store

How can we analyse data with four bilateral response variables measured with errors and three covariated measured without errors?

Weighted Harmonic Mean Weighted Harmonic Mean is calculated with the help of the following formula: WHM Case

Simple Regression: The Teacher Preparation Research Team conducted a study of college students who took the Praxis II-a teacher certification examination. Some variables from

A manufacturer has received complaints that aging production equipment is forcing workers to work overtime in order to meet production quotas. Historically, the average hours worke

Properties of correlation

just wondering what would be the cost to complete a stats assignment

A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with

I need to know if the exam will be guarantee to pull my grade up to a B or an A. I have a D right now so i need to get someone that is willing to put effort on completing it???

1 A penny is tossed 5 times. a. Find the chance that the 5th toss is a head b. Find the chance that the 5th toss is a head, given the first 4 are tails.