Topic 2 - Probability Theory, Distributions, Inference
  • Lectures
    • Lecture 4: Sample Spaces and Counting
    • Lecture 5: Expectations / Variances / Discrete Distributions
    • Lecture 6: Continuous Distributions
    • Lecture 7: Central Limit Theorem and Sampling Distribution
    • Lecture 8: Confidence Intervals and Hypothesis Tests
    • Lecture 9: Classical Test Statistics
    • Lecture 10: Numerical Inference
  • Labs
    • Lab 4: Sample Spaces and Counting
    • Lab 5: Playing With (Mostly) Discrete Distributions
    • Lab 6: Earthquakes, Volcanoes and the Central Limit Theorem
    • Lab 7: Tacks and Tests - Z, F, and T

Lecture 4: Probability Theory

BIOL709 / Winter 2018

(click here for pdf versions of lectures)

Topics

  • Random processes
  • Sample spaces
  • Basic probability rules
    • Complementarity
    • Addition
    • Multiplication
  • Disjoint and independent sets
  • The binomial distribution

I. Randomness

II. Sample Spaces

III. Permutations and Combinations

IV: Binomial Distribution