F: Discrete Random Variables
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PLAYLIST
PLAYLIST
Discrete Random Variables
Discrete Random Variables
01 Introduction
01 Introduction
02 Exploration 1 Part 1
02 Exploration 1 Part 1
The Expected Value E(X)
The Expected Value E(X)
03 The Expected Value E(X)
03 The Expected Value E(X)
04 Example 1
04 Example 1
The Variance Var(X)
The Variance Var(X)
05 The Variance Var(x)
05 The Variance Var(x)
06 Example 2
06 Example 2
07 Exploration 1 Part 2
07 Exploration 1 Part 2
E(aX+b) = aE(X) + b
E(aX+b) = aE(X) + b
08 E(X) Exploration
08 E(X) Exploration
09 E(aX+b)
09 E(aX+b)
10 Example 3
10 Example 3
Var(aX+b) = a²Var(X)
Var(aX+b) = a²Var(X)
11 Var(X) Exploration
11 Var(X) Exploration
12 Var(aX+b)
12 Var(aX+b)
13 Example 4
13 Example 4
E(X+Y) = E(X) + E(Y) and Var(X+Y) = Var(X) + Var(Y)
E(X+Y) = E(X) + E(Y) and Var(X+Y) = Var(X) + Var(Y)
14 E(X+Y) & Var(X+Y) Exploration
14 E(X+Y) & Var(X+Y) Exploration
15 E(X+Y) & Var(X+Y) + EXTENSION Proof
15 E(X+Y) & Var(X+Y) + EXTENSION Proof
16 EXTENSION Follow-up Proofs
16 EXTENSION Follow-up Proofs
17 E(X±Y) & Var(X±Y)
17 E(X±Y) & Var(X±Y)
18 Example 5
18 Example 5
19 E(aX+bY) & Var(aX+bY)
19 E(aX+bY) & Var(aX+bY)
20 Example 6
20 Example 6