# PROBABILITY AND STATISTICS FOR DATA SCIENCE

STM4PSD

2021

Credit points: 15

## Subject outline

This subject develops an understanding of probability and statistics applied to Data Science. Probability topics include joint and conditional probability, Bayes' Theorem and distributions such as the uniform, binomial, Poisson and normal distributions as well as properties of random variables and the Central Limit Theorem. Statistical inference and data analysis is also considered covering, among other topics, significance testing and confidence intervals with an introduction to methods such as ANOVA, linear and nonlinear regression and model verification. Applications to data science are considered and students will be exposed to the R statistical package as well as the mathematical type-setting package LaTeX.

SchoolEngineering and Mathematical Sciences

Credit points15

Subject Co-ordinatorChris Taylor

Available to Study Abroad/Exchange StudentsYes

Subject year levelYear Level 4 - UG/Hons/1st Yr PG

Available as ElectiveYes

Learning ActivitiesN/A

Capstone subjectNo

## Subject particulars

### Subject rules

PrerequisitesN/A

Co-requisitesN/A

Incompatible subjectsSTA4SS OR STM4PM

Equivalent subjectsN/A

Quota Management StrategyN/A

Quota-conditions or rulesN/A

Special conditionsThis subject will be offered to sufficient enrolment numbers

Minimum credit point requirementN/A

Assumed knowledgeN/A

## Career Ready

Career-focusedNo

Work-based learningNo

Self sourced or Uni sourcedN/A

Entire subject or partial subjectN/A

Total hours/days requiredN/A

Location of WBL activity (region)N/A

WBL addtional requirementsN/A

## Graduate capabilities & intended learning outcomes

### Intended Learning Outcomes

01. Identify probabilistic traits of data science problems and choose methods which can be employed to determine valid and informative solutions.
02. Defend or question the validity of probability models applied to data science problems
03. Demonstrate an ability to solve a variety of Data Science problems using applications of probability models.
04. Define a statistical hypothesis with applications to Data Science that may be tested using data.
05. Identify and apply statistical methods for hypothesis testing and estimation with applications in Data Science.
06. Present clear, well-structured summaries of findings, both probabilistic and data-based, using appropriate mathematical and statistical vocabulary.

## Subject options

Select to view your study options…

Start date between: and    Key dates

## Melbourne (Bundoora), 2021, Semester 1, Blended

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorChris Taylor

### Class requirements

Computer LaboratoryWeek: 10 - 22
One 2.00 hours computer laboratory per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Unscheduled Online ClassWeek: 10 - 22
One 2.00 hours unscheduled online class per week on any day including weekend during the day from week 10 to week 22 and delivered via online.
Pre-recorded Lecture

### Assessments

Assessment elementCategoryContributionHurdle% ILO*

Four written assignments (500-words equivalent each, 2,000-words total)Calculations and associated written discussion and conclusions.

AssignmentIndividualNo40 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

3 hour final exam (3000-words equivalent)Following release of results, papers can be reviewed in accordance with University policy.

Central examIndividualNo60 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

## Melbourne (Bundoora), 2021, Semester 2, Blended

### Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Subject Instance Co-ordinatorChris Taylor

### Class requirements

Computer LaboratoryWeek: 30 - 42
One 2.00 hours computer laboratory per week on weekdays during the day from week 30 to week 42 and delivered via face-to-face.

Scheduled Online ClassWeek: 30 - 42
One 2.00 hours scheduled online class per week on any day including weekend during the day from week 30 to week 42 and delivered via online.
Pre-recorded Lecture

### Assessments

Assessment elementCategoryContributionHurdle% ILO*

Four written assignments (500-words equivalent each, 2,000-words total)Calculations and associated written discussion and conclusions.

AssignmentIndividualNo40 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6

3 hour final exam (3000-words equivalent)Following release of results, papers can be reviewed in accordance with University policy.

Central examIndividualNo60 SILO1, SILO2, SILO3, SILO4, SILO5, SILO6