Permutations

Permutations.

Course Lectures

• Introduction: Probability and Counting

  Mark Sawyer

  Play

  Outcomes, sample, space, events, and probability functions.

• Probability Functions

  Mark Sawyer

  Play

  Probability functions, permuations.

• Permutations

  Mark Sawyer

  Playing

  Permutations.

• Probability Functions (continued)

  Mark Sawyer

  Play

  Probability functions.

• Conditional Probability

  Mark Sawyer

  Play

  Conditional probability.

• Conditional Probability (continued)

  Mark Sawyer

  Play

  Conditional probability.

• Independent Events

  Mark Sawyer

  Play

  independence of 3 or more events.

• Random Variables

  Mark Sawyer

  Play

  Random variables.

• Expected Values

  Mark Sawyer

  Play

  Random variables (continued), expected value, standard deviations.

• Binomial Distributions

  Mark Sawyer

  Play

  Standard distribution, binomial distribution, two random variables.

• Midterm Review

  Mark Sawyer

  Play

  Midterm review.

• Multinomial Distributions

  Mark Sawyer

  Play

  Multivariable distribution, binomial distribution, Bernoulli trials, geometric distributions.

• Geometric Distributions

  Mark Sawyer

  Play

  Geometric distributions.

• Poisson Distributions

  Mark Sawyer

  Play

  Poisson distribution, continuous trials, poisson processes.

• Poisson Distributions (continued)

  Mark Sawyer

  Play

  Poisson distribution, poisson processes.

• Density Function

  Mark Sawyer

  Play

  Density funtion, continuous random variables, uniform distribution.

• Exponential Distributions

  Mark Sawyer

  Play

  Continuous random variables, exponential distribution.

• Normal Distributions

  Mark Sawyer

  Play

  Normal distribution.

• Normal Distributions (continued)

  Mark Sawyer

  Play

  Standard normal distribution, cumulative distribution function.

• Standard Normal Distributions

  Mark Sawyer

  Play

  Nomal distribution continued.

• Central Limit Theorem

  Mark Sawyer

  Play

  Central limit theorem, normal distribution applications.

• Hitstogram Correction

  Mark Sawyer

  Play

  Normal approximation, histogram correction.

• Midterm Review 2

  Mark Sawyer

  Play

  Midterm review 2.

• Analyzing Data in Probability

  Mark Sawyer

  Play

  Analyzing data in probability, samples, incomplete data, means.

• Analyzing Data in Probability (continued)

  Mark Sawyer

  Play

  Analyzing data in probability, samples, incomplete data, means.

• Limit Theorems

  Mark Sawyer

  Play

  Limit theorems, Markovs inequality theorem, Chebyshevs inequality theorem, Law of large numbers.

• Limit Theorems (continued)

  Mark Sawyer

  Play

  Limit theorems, Markovs inequality theorem, Chebyshevs inequality theorem, Law of large numbers.

• Course Review

  Mark Sawyer

  Play

  Course Review