Limit Theorems of Random Variables

Learning tasks

A) Linear Combination of Random Variables
1) Interpreting Linear Combinations of Random Variables	Ex 1 Ex 2 Ex 3 Ex 4
2) Finding the Probability Distribution	Ex 5 Ex 6
3) Calculating Expectation and Variance	Ex 7 Ex 8 Ex 9 Ex 10 Ex 11
B) Law of Large Numbers
4) Applying the Law of Large Numbers	Ex 12 Ex 13 Ex 14 Ex 15 Ex 16
C) Central Limit Theorem
5) Analyzing the Sum of Normal Variables	Ex 17 Ex 18 Ex 19 Ex 20
6) Applying the CLT to Sums of Bernoulli Trials	Ex 21 Ex 22 Ex 23
7) Applying the CLT to Continuous Distributions	Ex 24 Ex 25 Ex 26
8) Calculating Quantiles Using the Normal Approximation	Ex 27 Ex 28 Ex 29 Ex 30

Lesson Summary
Text book

Exercises Correction
A) Linear Combination of Random Variables
    1) Interpreting Linear Combinations of Random Variables Ex 1 Ex 2 Ex 3 Ex 4
    2) Finding the Probability Distribution Ex 5 Ex 6
    3) Calculating Expectation and Variance Ex 7 Ex 8 Ex 9 Ex 10 Ex 11
B) Law of Large Numbers
    4) Applying the Law of Large Numbers Ex 12 Ex 13 Ex 14 Ex 15 Ex 16
C) Central Limit Theorem
    5) Analyzing the Sum of Normal Variables Ex 17 Ex 18 Ex 19 Ex 20
    6) Applying the CLT to Sums of Bernoulli Trials Ex 21 Ex 22 Ex 23
    7) Applying the CLT to Continuous Distributions Ex 24 Ex 25 Ex 26
    8) Calculating Quantiles Using the Normal Approximation Ex 27 Ex 28 Ex 29 Ex 30