Made using R and afferent packages. (Shiny, pracma, animate, rgl)
This project contains a library that supports diverse probability computations for bidimensional discrete random variables and a library + user interface that supports computations and graph plotting of unidimensional/bidimensional continuous random variables.
- Function that generates an incomplete table that represents the joint distribution of 2 discrete random variables.
- Function that completes the incomplete joint distribution.
- Function that extracts the marginal distribution of the 2 variables based on the joint distribution.
- Function that computes the mean, variance and covariance of a random variable based on a joint distribution that contains it.
- Function that computes a probability of a random variable conditioned by another based on their joint distribution.
- Function that computes a probability of 2 random variables based on their joint distribution.
- Parsing of a function given as input in the app.
- Option to check if the Fubini's theorem can be applied on the given function.
- Geometrical plotting of the function
- Option to check if the given function is a density function.
- Option to compute the conditioned probability in a fixed point of one of the 2 random variables.
- Option to compute the mean, variance and the moments for one continuous random variable.
- Option to compute probabilities of one or two one continuous random variables.
- Option to compute the covariance and the correlation coeficient of the 2 continuous random variables.
- Option to make these computations on a single continuous random variable.
