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.