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Continuous Random Variables

Learning tasks
                      
Lesson Summary
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) Exploring the Continuous Uniform DistributionEx 28 Ex 29 Ex 30 Ex 31
B) Normal Distribution
    I) Standard Normal Distribution
      9) Finding a Probability from an AreaEx 32 Ex 33 Ex 34 Ex 35 Ex 36
    II) Normal Distribution
      10) Finding the Normal DistributionEx 37 Ex 38 Ex 39
      11) Finding Values Using the Mean and Standard DeviationEx 40 Ex 41 Ex 42 Ex 43
      12) Finding Probabilities using Graphic CalculatorEx 44 Ex 45 Ex 46 Ex 47
      13) Busting Brags and Claims with Normal CurvesEx 48 Ex 49 Ex 50 Ex 51
    III) Empirical Rule for Normal Distribution
      14) Exploring Everyday StatisticsEx 52 Ex 53 Ex 54 Ex 55
    IV) Quantiles
      15) Setting the Threshold with PercentilesEx 56 Ex 57 Ex 58 Ex 59 Ex 60 Ex 61