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DMP 9.2: Numerical Properties of Continuous Distributions

Reading

Carlton & Devore Chapter 3, Subsections 3.1.5 and 3.2.1. (Pages 156–157 and 162–166)

Topics

  • Percentiles of a continuous distribution
  • Median of a continuous distribution
  • Expected value of a continuous random variable
  • Expected value of a function of a continuous random variable
  • Variance and standard deviation for a continuous random variable
  • Chebyshev inequality
  • Linearity of expectations
  • Rescaling of expectation, variance, and standard deviation

Video

Media Hopper link: Numerical Properties of Continuous Distributions

Exercises

Chapter 3 Exercises 18–31. (Pages 162, and 168–170)

Choose some of these exercises and work through them yourself.

License
Creative Commons - Attribution

Book traversal links for DMP 9.2: Numerical Properties of Continuous Distributions

  • DMP 9.1: Continuous Random Variables
  • Up
  • DMP 9.3: The Normal Distribution

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    • DMP: Week 9
      • DMP 9.1: Continuous Random Variables
      • DMP 9.2: Numerical Properties of Continuous Distributions
      • DMP 9.3: The Normal Distribution
      • DMP 9.4: The Exponential Distribution
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