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Discrete Random Variables

Learning tasks
                        
Lesson
Text book
Exercises Correction
A) Random Variables
    I) Definitions
      1) Finding the Value of a Random VariableEx 1 Ex 2 Ex 3 Ex 4 Ex 5 Ex 6
      2) Identifying the possible valuesEx 7 Ex 8 Ex 9 Ex 10
      3) Defining A Random VariableEx 11 Ex 12 Ex 13 Ex 14
      4) Finding Events Involving a Random VariableEx 15 Ex 16 Ex 17 Ex 18
      5) Defining a Random Variable to Model a SituationEx 19 Ex 20 Ex 21 Ex 22
    II) Probability Distribution
      6) Finding the Probability DistributionEx 23 Ex 24 Ex 25 Ex 26
      7) Reading Probability Distributions from GraphsEx 27 Ex 28 Ex 29 Ex 30
      8) Constructing a Probability DistributionEx 31 Ex 32 Ex 33 Ex 34
    III) Existence of a Random variable with a given Probability Distribution
      9) Verifying Probability Distribution ValidityEx 35 Ex 36 Ex 37 Ex 38
      10) Defining a Random Variable and Its Probability DistributionEx 39 Ex 40 Ex 41 Ex 42
      11) Finding Probabilities in Everyday ScenariosEx 43 Ex 44 Ex 45 Ex 46
B) Measures of Center and Spread
    I) Expectation
      12) Calculating ExpectationsEx 47 Ex 48 Ex 49 Ex 50
      13) Exploring Expected ValuesEx 51 Ex 52 Ex 53 Ex 54
    II) Variance and Standard Deviation
      14) Calculating Standard DeviationEx 55 Ex 56 Ex 57 Ex 58
      15) Choosing Based on Expected Values and RiskEx 59 Ex 60 Ex 61 Ex 62
C) Classical Distributions
    I) Uniform Distribution
      16) Identifying Uniform DistributionsEx 63 Ex 64 Ex 65 Ex 66
      17) Expected Value and Variance for Uniform DistributionsEx 67 Ex 68 Ex 69 Ex 70
    II) Bernoulli Distribution
      18) Identifying Bernoulli DistributionsEx 71 Ex 72 Ex 73 Ex 74
      19) Identifying and Defining Bernoulli TrialsEx 75 Ex 76 Ex 77
      20) Finding a Probability of SuccessEx 78 Ex 79 Ex 80 Ex 81
    III) Bernoulli Scheme
      21) Modeling and Calculating with Bernoulli SchemesEx 82 Ex 83 Ex 84
      22) Calculating Binomial Coefficients using PropertiesEx 85 Ex 86 Ex 87 Ex 88
      23) Modeling with Bernoulli SchemesEx 89 Ex 90
    IV) Binomial Distribution
      24) Identifying Binomial DistributionsEx 91 Ex 92 Ex 93 Ex 94
      25) Finding Probabilities in Everyday ScenariosEx 95 Ex 96 Ex 97 Ex 98
      26) Identifying and Applying the Binomial DistributionEx 99 Ex 100 Ex 101 Ex 102 Ex 103
      27) Using a Calculator for Cumulative Binomial ProbabilitiesEx 104 Ex 105 Ex 106
      28) Modeling Real-Life Scenarios with the Binomial DistributionEx 107 Ex 108
      29) Calculating an Expected ValueEx 109 Ex 110 Ex 111 Ex 112
      30) Determining a Probability IntervalEx 113 Ex 114 Ex 115
    V) Geometric Distribution
      31) Testing Knowledge of the Geometric DistributionEx 116 Ex 117 Ex 118 Ex 119 Ex 120 Ex 121
      32) Calculating Probabilities for a Geometric DistributionEx 122 Ex 123 Ex 124
      33) Applying the Geometric Distribution to Real-Life ProblemsEx 125 Ex 126 Ex 127
      34) Calculating Conditional Probabilities using Memoryless PropertyEx 128 Ex 129 Ex 130
      35) Solving Problems with the Memoryless PropertyEx 131 Ex 132 Ex 133