Business Math II (Math 115B), Section 8, Fall 2000
Review topics for Midterm 1

• Integration:
  • Midpoint sums:
    • Simple midpoint sums by hand
    • Representing the relevant quantities on a graph
    • Constructing spreadsheets to compute midpoint sums
  • Integrals as (signed) areas
  • Integrals representing probabilities, expected values, and variances
• Distributions:
  • Basics about binomial, exponential, uniform, and normal random variables (Definitions, typical applications, graphs and formulas for PDFs, PMFs, and CDFs, as appropriate)
  • Expected value, variance, and standard deviation of a random variable (continuous or discrete)
  • Interpretation and application of expected value, variance, and standard deviation
  • Standardization
• Samples:
  • Computing samples means, variances, and standard deviations
  • Properties of the sample mean
  • Central limit theorem
  • Confidence intervals
• Excel:
  • Computing midpoint sums
  • Functions for binomial and normal random variables
  • Functions for sample means, variances, standard deviations
  • Creating histograms and approximate PDFs
  • Graphing functions
  • Random number generation

Douglas Ulmer
Oct 4, 2000