# Expected Values

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

• ##### Introduction: Probability and Counting
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Outcomes, sample, space, events, and probability functions.

• ##### Probability Functions
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Probability functions, permuations.

• ##### Permutations
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Permutations.

• ##### Probability Functions (continued)
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Probability functions.

• ##### Conditional Probability
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Conditional probability.

• ##### Conditional Probability (continued)
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Conditional probability.

• ##### Independent Events
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independence of 3 or more events.

• ##### Random Variables
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Random variables.

• ##### Expected Values
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Random variables (continued), expected value, standard deviations.

• ##### Binomial Distributions
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Standard distribution, binomial distribution, two random variables.

• ##### Midterm Review
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Midterm review.

• ##### Multinomial Distributions
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Multivariable distribution, binomial distribution, Bernoulli trials, geometric distributions.

• ##### Geometric Distributions
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Geometric distributions.

• ##### Poisson Distributions
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Poisson distribution, continuous trials, poisson processes.

• ##### Poisson Distributions (continued)
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Poisson distribution, poisson processes.

• ##### Density Function
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Density funtion, continuous random variables, uniform distribution.

• ##### Exponential Distributions
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Continuous random variables, exponential distribution.

• ##### Normal Distributions
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Normal distribution.

• ##### Normal Distributions (continued)
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Standard normal distribution, cumulative distribution function.

• ##### Standard Normal Distributions
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Nomal distribution continued.

• ##### Central Limit Theorem
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Central limit theorem, normal distribution applications.

• ##### Hitstogram Correction
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Normal approximation, histogram correction.

• ##### Midterm Review 2
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Midterm review 2.

• ##### Analyzing Data in Probability
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Analyzing data in probability, samples, incomplete data, means.

• ##### Analyzing Data in Probability (continued)
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Analyzing data in probability, samples, incomplete data, means.

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

• ##### Limit Theorems (continued)
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Limit theorems, Markovs inequality theorem, Chebyshevs inequality theorem, Law of large numbers.

• ##### Course Review
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Course Review