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Continuous Random Variables

Learning tasks
                      
Lesson
Text book
Exercises Correction
A) Definitions
    I) Continuous Random Variable
      1) Distinguishing Between Discrete and Continuous VariablesEx 1 Ex 2 Ex 3 Ex 4
    II) Probability Density Function
      2) Calculating Probabilities Under the CurveEx 5 Ex 6 Ex 7 Ex 8
      3) Verifying that \(f(x)\) is a probability density functionEx 9 Ex 10 Ex 11 Ex 12
      4) Normalizing a Probability Density FunctionEx 13 Ex 14 Ex 15 Ex 16
      5) Finding a ProbabilityEx 17 Ex 18 Ex 19 Ex 20
    III) Expectation
      6) Calculating an ExpectationEx 21 Ex 22 Ex 23 Ex 24
    IV) Variance
      7) Calculating a VarianceEx 25 Ex 26 Ex 27
    V) Continuous Uniform Distribution
      8) Testing Knowledge of the Continuous Uniform DistributionEx 28 Ex 29 Ex 30 Ex 31 Ex 32 Ex 33
      9) Calculating on the Continuous Uniform DistributionEx 34 Ex 35 Ex 36
      10) Applying the Continuous Uniform DistributionEx 37 Ex 38 Ex 39
B) Normal Distribution
    I) Standard Normal Distribution
      11) Finding a Probability from an AreaEx 40 Ex 41 Ex 42 Ex 43 Ex 44
    II) Normal Distribution
      12) Finding the Normal DistributionEx 45 Ex 46 Ex 47
      13) Finding Values Using the Mean and Standard DeviationEx 48 Ex 49 Ex 50 Ex 51
      14) Finding Probabilities using Graphic CalculatorEx 52 Ex 53 Ex 54 Ex 55
      15) Busting Brags and Claims with Normal CurvesEx 56 Ex 57 Ex 58 Ex 59
    III) Empirical Rule for Normal Distribution
      16) Exploring Everyday StatisticsEx 60 Ex 61 Ex 62 Ex 63
    IV) Quantiles
      17) Setting the Threshold with PercentilesEx 64 Ex 65 Ex 66 Ex 67 Ex 68 Ex 69