# MAT1830: The Corruption Perceptions Index uses perceptions of the general public, business people: Discrete mathematics for computer science Assignment, MUM, Malaysia

University | Monash University Malaysia (MUM) |

Subject | MAT1830: Discrete mathematics for computer science |

The Corruption Perceptions Index uses perceptions of the general

public, business people, and risk analysts to rate countries by how likely

they are to accept bribes. The ratings are on a scale from 0 to 10, where

higher scores represent less corruption. The graph shows the corruption

ratings for the world’s least corrupt and most corrupt countries.

Consider the statement If the country is Finland, then the corruption

rating is 9.6.

(i) Write each statement in symbolic form. Then use the information

displayed by the graph below to determine the truth value of this

conditional statement.

(ii) Write the converse, inverse, and contrapositive of the statement in

part (i). Then use the information given by the graph to determine

whether each statement is true or not necessarily true.

(b) Write each statement in symbolic form. Then use the information

displayed by the graph below to determine the truth value of the

compound statement

(i) Twenty-nine percent consider religion the most taboo topic and it is

not true that 14% consider politics the most taboo topic.

(ii) If a greater percentage of people consider money a more taboo topic

than personal life, then 16% consider money the most taboo topic and

14% consider personal life the most taboo topic.

(iii) Fourteen percent consider money the most taboo topic if and only if

14% consider polities the most taboo topic, or it is not true that the

greatest percentage consider religion the most taboo topic.

QUESTION 2

An anonymous survey of college students was taken to determine

behaviors regarding alcohol, cigarettes, and illegal drugs. The results

were as follows: 894 drank alcohol regularly, 665 smoked cigarettes, 192

used illegal drugs, 424 drank alcohol regularly and smoked cigarettes,

114 drank alcohol regularly and used illegal drugs, 119 smoked cigarettes and used illegal drugs, 97 engaged in all three behaviors, and 309 engaged in none of these behaviors. Source: Jamie Langille, University of Nevada Las Vegas

(a) Construct a Venn diagram and determine the cardinality for each

region.

(b) How many students were surveyed? (2 marks) Of those surveyed,

(c) How many drank alcohol regularly or smoked cigarettes? (2 marks)

(d) How many used illegal drugs only? (1 mark)

(e) How many drank alcohol regularly and smoked cigarettes, but did not

use illegal drugs? (1 mark)

(f) How many drank alcohol regularly or used illegal drugs, but did not

smoke cigarettes? (2 marks)

(g) How many engaged in exactly two of these behaviors? (2 marks)

(h) How many engaged in at least one of these behaviors? (2 marks)

QUESTION 3

List the ordered pairs in the relations R from A = {0, 1, 2, 3, 4} to B = {0,

1, 2, 3}, where (a, b) ∈ R if and only if

(a) a = b (1 mark)

(b) a + b = 4 (1 mark)

(c) a – b = 2 (1 mark)

(d) a > b (2 marks)

QUESTION 4

A fast food chain store conducted a taste survey before marketing a new

hamburger. The results of the survey showed that 70% of the people

who tried this hamburger liked it. Encouraged by this result, the company

decided to market the new hamburger. Assume that 70% of all people

like this hamburger. On a certain day, ten customers bought it. Let X

denote the number of customers in this sample of 10 who will like this

hamburger.

(a) Using the appropriate probabilities table, obtain the probability

distribution of X.

(b) Determine the mean and variance of X. (4 marks)

QUESTION 5

Two boxes each contain three cards. The first box contains cards

labeled 1, 3 and 5; the second box contains cards labeled 2, 6 and 8. In

a game, a player draws one card at random from each box and his

score, X, is the sum of the numbers on the two cards.

(a) Determine the probability distribution of X. (6 marks)

(b) Determine the probability of X takes even value and the probability of

X = a multiple of 3. (4 marks)

(c) Calculate the mean and variance of X. (5 marks)

QUESTION 6

Description:

Write a report (at least 5 pages) based on the topic : Graph Theory

1.Introduction.

2. History.

3. Importance.

4. Application in real-life (at least 3 applications). Describe real-life

examples of how to apply graph theory to model and solve problems in

AI, data science and computer science.

### Get Solution of this Assessment. Hire Experts to solve this assignment for you Before Deadline.

## Get Help By Expert

Malaysia Assignment Help is the leading thesis writing help provider on MAT1830: Discrete mathematics for computer science. our writers are highly experienced and skilled in delivering top-quality thesis papers on management assignments, nursing assignments, law assignments, etc at the cheapest price.

## Recent Solved Questions

- SOPA1035: Cikgu Aminah teaches a preschool class in SK Tanah Abang, Mersing. She hails from the west coast of peninsular Malaysia: Social Policy and Social Pedagogies Case Study, UOG, Malaysia
- Extract all the strategies used by both companies to beat each other in building reputation perspectives: Strategic Management Assignment, ASB, Malaysia
- Metabolomics is a comprehensive study of organisms at the level of the metabolite. The emergence of metabolomics: Biology Research Paper, UPM, Malaysia
- Does the scope of the project appear to have been clearly defined upfront and Is there any evidence of an effective risk assessment process: Master of Project Management Assignment, OUM, Malaysia
- BFW2341: Explore the international financial environment and the importance of foreign exchange risk management: International Financial Management Essay, MUM, Malaysia
- BMOM5203: Based on your reading of journal articles and books on leadership and your observation of the selected organization: Organization and Business Management Assignment, OUM, Malaysia
- ABKK1103: There are many definitions related to politics. One of the most famous definitions of politics is by Harold Lasswell: Introduction to Political Science Assignment, OUM, Malaysia
- ACC 4243: New Town Manufacturing Sdn Bhd a Malaysian tax resident company is engaged in the business of manufacturing paper products: Advanced Taxation Assignment, IIUM, Malaysia
- PSY1044: Explain the physical, cognitive, and socioemotional changes that occur throughout childhood: Lifespan Development Report, SU, Malaysia
- Corrosion is generally understood to be the destruction of a metal by the action of corrosive agents: Science Research Paper, UM, Malaysia