Probability Distributions

サイト: Young Education
コース: Probability and Combinatorics
ブック: Probability Distributions
印刷者: Guest user
日付: 2026年 09月 25日(金曜日) 03:22

1. Random Variables

Learning outcomes
  • I can define random variables.
  • I can distinguish between discrete and continuous variables.
  • I can determine probability distributions.
  • I can calculate expected values.
  • I can interpret random variables in context.

2. Expected Value and Variance

Learning outcomes
  • I can calculate expected values.
  • I can calculate variance.
  • I can calculate standard deviation.
  • I can interpret measures of spread.
  • I can solve decision-making problems using expected value.

3. Binomial Distribution

Learning outcomes
  • I can identify binomial experiments.
  • I can calculate binomial probabilities.
  • I can determine expected values and variance.
  • I can interpret binomial models.
  • I can solve practical probability problems.

4. Geometric and Poisson Distributions

Learning outcomes
  • I can identify geometric distributions.
  • I can identify Poisson distributions.
  • I can calculate probabilities using these models.
  • I can compare different probability distributions.
  • I can select appropriate probability models.

5. Continuous Probability Distributions

Learning outcomes
  • I can distinguish continuous probability models.
  • I can interpret probability density functions.
  • I can calculate probabilities over intervals.
  • I can compare discrete and continuous models.
  • I can solve practical probability problems.