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Sums and Limit Theorems of Random Variables

Learning tasks
            
Lesson
Text book
Exercises Correction
A) Modeling with Linear Combinations
    1) Analyzing Linear Combinations and AveragesEx 1 Ex 2 Ex 3 Ex 4 Ex 5 Ex 6
    2) Interpreting Linear Combinations of Random VariablesEx 7 Ex 8 Ex 9 Ex 10
    3) Modeling Situations with Sums and Means of Random VariablesEx 11 Ex 12 Ex 13 Ex 14
    4) Finding the Probability DistributionEx 15 Ex 16
B) Expectation and Variance
    5) Analyzing Expectation and Variance PropertiesEx 17 Ex 18 Ex 19 Ex 20 Ex 21 Ex 22
    6) Calculating Parameters of Linear CombinationsEx 23 Ex 24 Ex 25 Ex 26
    7) Calculating Parameters of a Sample MeanEx 27 Ex 28 Ex 29 Ex 30
    8) Determining the Sample Size for a Target PrecisionEx 31 Ex 32
    9) Calculating Expectation and VarianceEx 33 Ex 34 Ex 35 Ex 36 Ex 37
C) Concentration Laws
    10) Analyzing Concentration InequalitiesEx 38 Ex 39 Ex 40 Ex 41 Ex 42
    11) Applying the Bienaymé--Tchebychev InequalityEx 43 Ex 44 Ex 45
    12) Applying the Concentration InequalityEx 46 Ex 47
    13) Bounding Deviations with Concentration InequalitiesEx 48 Ex 49 Ex 50
D) Law of Large Numbers
    14) Analyzing the Law of Large NumbersEx 51 Ex 52 Ex 53 Ex 54 Ex 55
    15) Applying the Law of Large NumbersEx 56 Ex 57 Ex 58 Ex 59 Ex 60
    16) Estimating Population Size with the Law of Large NumbersEx 61 Ex 62