STU12501 – Introduction to Probability

Source: https://teaching.scss.tcd.ie/module/stu12501-introduction-to-statistics-i/ Parent: https://teaching.scss.tcd.ie/visiting-students/


Module Code	STU12501
Module Name	Introduction to Probability
ECTS Weighting [1]	5 ECTS
Semester Taught	Semester 1
Module Coordinator/s	Fergal Shevlin

Module Learning Outcomes

Understand the elementary concepts of probability models.
Apply various probability models to practical problems in a range of disciplines.
Distinguish between discrete and continuous random variables.
Appreciate the elementary properties of random variables.

Sample Space and Probability: Sets; Probabilistic Models; Conditional Probability; Total Probability Theorem and Bayes’ Rule; Independence; Counting.
Discrete Random Variables: Probability Mass Functions; Functions of Random Variables; Expectation, Mean, and Variance; Joint PMFs of Multiple Random Variables; Conditioning; Independence.
General Random Variables: Continuous Random Variables and PDFs; Cumulative Distribution Functions; Normal Random Variables.

Lectures, homework, tutorials.


Assessment Component	Brief Description	Learning Outcomes Addressed	% of Total	Week Set	Week Due
Examination	In-person examination (2 hours)	LO1,2,3,4.	100%

In-person examination, 2 hours, 100%.


Contact Hours (scheduled hours per student over full module), broken down by:	33 hours
Lectures (11 weeks x 2 hours.)	22 hours
Laboratory	0 hours
Tutorials (11 weeks x 1 hour.)	11 hours
Other	0 hours
Independent study (outside scheduled contact hours), broken down by:	92 hours
Suggested lecture preparation (11 weeks x 3 hours.)	33 hours
Suggested homework problem-solving (11 weeks x 3 hours.)	33 hours
Exam preparation (2 weeks x 13 hours.)	26 hours
Total Hours	125 hours

None.

None.