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Continuous Random Variables

Learning tasks
              
Lesson
Text book
Exercises Correction
A) Definitions
    I) Probability Density Function
      1) Distinguishing Between Discrete and Continuous VariablesEx 1 Ex 2 Ex 3 Ex 4
      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
    II) Expectation
      6) Calculating an ExpectationEx 21 Ex 22 Ex 23 Ex 24
    III) Variance
      7) Calculating a VarianceEx 25 Ex 26 Ex 27
B) Classical Distributions
    I) 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
    II) Exponential Distribution
      11) Testing Knowledge of the Exponential DistributionEx 40 Ex 41 Ex 42 Ex 43 Ex 44 Ex 45
      12) Calculating on the Exponential DistributionEx 46 Ex 47 Ex 48
      13) Modeling Lifetimes with the Exponential DistributionEx 49 Ex 50 Ex 51 Ex 52