Chapter S3: Discrete Random Variable (DRV) - Session 1

INSTRUCTIONS: 

1.      This topic is designed as a self-contained learning unit.

2.      This is to be covered over TWO Blended Learning sessions. 

3.      You should have the notes for Chapter S3 with you.

You are to complete Session 1 by 11 February 2025. 

You should set aside 1 hour for this BL session.

Pre-Learning:

1.      Let’s watch a motivational video on the “Application of Statistics In Daily Life | Use and Importance Of Statistics”.

Learning:

2.    Watch this Introduction to Statistics (1.1) for an overview of the various elements of statistics. 

Note the terminologies used (eg. Descriptive vs Inferential statistics, variable, discrete vs continuous).

(You may ignore the concepts of categorical data mentioned in 2:35 to 3:20) 

Lecture Notes Sections 3.1 and 3.2

   3.      Watch this and fill in your lecture notes: Ch S3 Section 3.1. 

   4.      Watch this and fill in your lecture notes: Ch S3 Section 3.2. 

Note: Erratum in Section 3.2 (Pg 3, Example 4) - see screenshot below

Please note the following erratum in the video, the calculation is 4×8=32 and not 48.

Learning Activity 

Activity to connect the concepts of mean and standard deviation to the concepts of expectation and variance
(to be introduced formally in Section 3.3 in Blended Learning Session 2)

5.      You would need the help of an online simulator (DICE ROLL SIMULATOR) to simulate 60, 000 rolls of a die.

Task: Follow the instructions in the Appendix: Blended Learning Activity. Complete sections (A) and (B) of the appendix found at the end of the notes.

Instructions for the use of the DICE ROLL SIMULATOR

1. See the image below to set the 3 settings: 

2. Set to FREQEUNCY, dice =1, Press 6 times of "10,000" to get 60,000 throws.

3. Note the frequency count for each of the 6 outcomes of the die.

Post-Learning:

6.   You are required to fill in the following Google Form to submit your findings (Be sure to recap this when you use this again for Session 2).

Note: A copy of your responses for each Google Form submission will be sent to your email.