11/7/2022

Complete Problem Session

Chapter 7 - Continuous Distributions

• Beta Distribution
• mean and variance
• Moment generating function and other properties
• Calculating probabilities, finding percentiles, and generating random observations for normal distributions
  • dbeta(k, shape1, shape2), pbeta(k, shape1, shape2), qbeta(k, shape1, shape2), and rbeta(n, shape1, shape2) with RStudio
• Chi-squared distribution
  • Derivation of this special case of the gamma distribution
  • Show that the sum of chi-squared random variables stays in the chi-squared family
  • Calculating probabilities, finding percentiles, and generating random observations for normal distributions
    • dchisq(k, df), pchisq(k, df), qchisq(k, df), and rgamma(n, df) with RStudio

Please complete your reading of Chapter 7 and read Chapter 8 for class on Wednesday.