F: Discrete Random Variables

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From the OCR B MEI specification (LINK):

PLAYLIST

Discrete Random Variables

01 Introduction

02 Exploration 1 Part 1

The Expected Value E(X)

03 The Expected Value E(X)

04 Example

The Variance Var(X)

05 The Variance Var(x)

06 Example

07 Exploration 1 Part 2

E(aX+b) = aE(X) + b

08 E(X) Exploration

09 E(aX+b)

10 Example

Var(aX+b) = a²Var(X)

11 Var(X) Exploration

12 Var(aX+b)

13 Example

E(X+Y) = E(X) + E(Y) and Var(X+Y) = Var(X) + Var(Y)

14 E(X+Y) & Var(X+Y) Exploration

15 E(X+Y) & Var(X+Y) + EXTENSION Proof

16 EXTENSION Follow-up Proofs

17 E(X±Y) & Var(X±Y)

18 Example

19 E(aX+bY) & Var(aX+bY)

20 Example