DSAI 303 • Midterm II • Probability and Statistics for Data Science and Artificial Intelligence

Expected Value

Expected Value Example 1

Expected Value Example 2

Variance

Variance Example 1

Variance Example 2

Expected Value

Expected Value - Example 1

Expected Value - Example 2

Variance

Variance - Example 1

Discrete Random Variables 1 - Expected Value

Discrete Random Variables 2 - Expected Value

Discrete Random Variables 3 - Variance

Discrete Random Variables 4 - Expected Value

Discrete Random Variables 5 - Expected Value and Variance

Discrete Random Variables 6 - Expected Value

Continuous Random Variable 1 - Expected Value

Continuous Random Variable 2 - Expected Value

Continuous Random Variable 3 - Variance

Continous Random Variable 4 - Expected Value

Continuous Random Variables 5 - Expected Value and Variance

Probability Mass Function (Review)

PMF Example (Review)

Marginal PMF and CDF (Review)

Expected Value

Variance

Expected Value and Variance Example

Conditional PMF and CDF

Conditional Expectation

End of Topic Example - Part I

End of Topic Example - Part II

Introduction (Review)

Marginal PDF and CDF (Review)

Expected Value and Variance

Conditional PDF and CDF. (Review)

Conditional Expectation

Example 1

Example 2

Example 3

Covariance

Example 1

Example 2

Example 3

Variance of Sums

Example 4

Correlation

Example 5

Discrete Joint Distribution 1

Discrete Joint Distribution 2

Discrete Joint Probability 3

Discrete Joint Probability 4

Discrete Joint Distribution 5

Continuous Joint Probability 1

Continuous Joint Probability 2

Continuous Joint Probability 3

Continuous Joint Probability 4

Continuous Joint Probability 5

Continuous Joint Probability 6

Continuous Joint Probability 7

Continuous Joint Probability 8

Continuous Joint Probability 9

Covariance 1

Covariance 2

Covariance 3

Covariance 4

Correlation

Bernoulli Distribution Part 1

Bernoulli Distribution Part 2

Example 1

Example 2

Binomial Distribution Part 1

Binomial Distribution Part 2

Example 3

Example 4

Poisson Distribution Part 1

Poisson Distribution Part 2

Example 5

Example 6

Poisson Approximation to Binomial Distribution

Example 7

Hypergeometric Distribution

Example 8

Geometric Distribution Part 1

Geometric Distribution Part 2

Example 9

Example 10

Negative Binomial Distribution Part 1

Negative Binomial Distribution Part 2

Example 11

Example 12

Exponential Distribution

Example 3

Example 4

Memoryless Property

Example 5

Normal Distribution

Standard Normal Distribution

Reading Z Table - Option 1

Reading Z Table - Option 2

Example 6

Normal Approximation to Binomial Distribution

Example 7

Binomial Distribution 1

Binomial Distribution 2

Binomial Distribution 3

Binomial Distribution 4

Poisson distribution 1

Poisson Distribution 2

Poisson Distribution 3

Poisson distribution 4

Hypergeometric Distribution 1

Hypergeometric Distribution 2

Hypergeometric Distribution 3

Hypergeometric Distribution 4

Negative Binomial Distribution 1

Negative Binomial - Geometric Distribution

Geometric Distribution 1

Geometric Distribution 2

Geometric Distribution 3

Uniform Distribution 1

Uniform Distribution 2

Uniform Distribution 3

Exponential Distribution 1

Exponential Distribution 2

Exponential Distribution 3

Exponential Distribution 4

Normal Distribution 1

Normal Distribution 2

Normal Distribution 3

Normal Distribution 4

Normal Distribution 5

Normal Distribution 6

Normal Distribution 7