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  1. 1 29:43 Probability and Statistics: Overview Steve Brunton · 595.5K views
  2. 2 20:05 Gentle Introduction to Probability: Counting Coin Flips and Dice Steve Brunton · 126.7K views
  3. 3 17:50 Counting Probabilities with Combinatorics and the Factorial Steve Brunton · 100.9K views
  4. 4 24:13 Set Theory in Probability: Sample Spaces and Events Steve Brunton · 90.5K views
  5. 5 20:21 The Birthday Problem in Probability: P(A) = 1 – P(not A) Steve Brunton · 67.3K views
  6. 6 13:30 Quality Control, Non-Destructive Inspection, and the Multinomial Distribution Steve Brunton · 49.7K views
  7. 7 16:32 The Binomial Distribution and the Multinomial Distribution Steve Brunton · 61.9K views
  8. 8 13:11 Conditional Probabilities Steve Brunton · 67.1K views
  9. 9 10:13 The Law of Total Probability Steve Brunton · 60.3K views
  10. 10 17:43 Bayes’ Theorem (with Example!) Steve Brunton · 125.2K views
  11. 11 12:32 Bayes’ Theorem Example: Drug Testing 🌿 Steve Brunton · 40.8K views
  12. 12 13:00 Independence in Probability Steve Brunton · 50.4K views
  13. 13 21:56 Random Variables and Probability Distributions Steve Brunton · 142.3K views
  14. 14 24:41 Bernoulli and Binomial Random Variables Steve Brunton · 87.6K views
  15. 15 17:15 The Normal Distribution: The Limit of Binomial Distribution for Large “n” Steve Brunton · 48K views
  16. 16 17:12 The Standard Unit Normal and Probability Computations Steve Brunton · 31.8K views
  17. 17 13:01 The Poisson Distribution: The Rare Event Limit of a Binomial Distribution Steve Brunton · 61.2K views
  18. 18 12:56 The Geometric Distribution: The First Success of a Bernoulli Distribution Steve Brunton · 35.2K views
  19. 19 18:46 The Exponential Distribution: Time Between Poisson Events Steve Brunton · 52.8K views
  20. 20 7:11 The Hazard Rate and Memoryless Property of the Exponential Distribution Steve Brunton · 24.5K views
  21. 21 10:13 The Connection Between the Exponential Distribution and the Poisson Process Steve Brunton · 30.1K views
  22. 22 12:30 The Gamma Distribution Steve Brunton · 53.4K views
  23. 23 13:36 Functions of a Random Variable Steve Brunton · 33.6K views
  24. 24 9:15 Rescaling the Normal Distribution to Mean Zero and Variance One Steve Brunton · 16.8K views
  25. 25 13:08 The Chi Squared Distribution: The Square of the Normal Distribution Steve Brunton · 25.3K views
  26. 26 14:34 Joint Probability Distributions Steve Brunton · 66.4K views
  27. 27 9:36 Joint Probability Distributions: Marginal and Conditional Densities Steve Brunton · 31.4K views
  28. 28 15:24 The Expected Value (Mean) of a Probability Distribution Steve Brunton · 49.4K views
  29. 29 10:18 Properties of the Expected Value Steve Brunton · 20.9K views
  30. 30 12:59 Variance and Standard Deviation Steve Brunton · 26.6K views
  31. 31 11:58 Example of Computing the Expectation and Variance of an Exponential Distribution Steve Brunton · 15.3K views
  32. 32 15:26 Two Examples of Expected Values & Functions: Temperature in C vs F, and the Kinetic Theory of Gases Steve Brunton · 13.1K views
  33. 33 8:09 Markov’s Inequality in Probability: First Order Estimates Steve Brunton · 20.3K views
  34. 34 9:44 Chebyshev’s Inequality in Probability: Second Order Estimates Steve Brunton · 20.7K views
  35. 35 12:44 The Law of Large Numbers Steve Brunton · 26.6K views
  36. 36 10:57 The Central Limit Theorem Steve Brunton · 30.4K views
  37. 37 21:57 The Moment Generating Function Steve Brunton · 52.6K views
  38. 38 9:48 Example of The Moment Generating Function Steve Brunton · 14.8K views
  39. 39 6:21 The Lebesque Measure in Probability Steve Brunton · 11.7K views
  40. 40 6:18 Additive Property of the Moment Generating Function Steve Brunton · 8.8K views
  41. 41 19:34 Covariance and Correlation in Probability Steve Brunton · 35.7K views
  42. 42 5:29 Covariance and Correlation: Example with Gaussian Distributions Steve Brunton · 12.5K views
  43. 43 9:04 The Tail Sum Formula in Probability Steve Brunton · 10.5K views
  44. 44 26:24 Proof of the Central Limit Theorem Steve Brunton · 24K views