Probability Topics: Two-Dimensional Continuous Random Variables
Course description
The purpose of this course is to apply multivariable integral calculus to essential concepts of probability theory, focusing on two-dimensional continuous random variables.
Topics such as probability densities, distribution functions, independence, distributions of functions of random variables, conditional distributions, and n-dimensional variables will be covered.
Objectives
- Apply probability density functions for two-dimensional random variables.
- Identify and apply concepts of independence between continuous random variables.
- Apply distributions of functions of two-dimensional random variables.
- Use the Jacobian in determining joint probability densities.
- Understand and apply conditional distributions for continuous random variables.
- Extend concepts of two-dimensional random variables to sets of n variables.
Study units
- Probability densities. Distribution functions. Independence.
- Distributions of functions of random variables. Conditional distributions. n-dimensional variables.
Dedication
- Theoretical study (80%)
- Activity (20%)
Student commitment
- Access
- Study
- Perform the activity
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