matematicas visuales visual math
Probability

Binomial distribution | matematicasVisuales Normal approximation to Binomial distribution | matematicasVisuales Poisson distribution | matematicasVisuales Normal distributions | matematicasVisuales Normal Distributions: One, two and three standard deviations | matematicasVisuales Normal Distributions: (Cumulative) Distribution Function | matematicasVisuales Normal Distributions: Probability of Symmetric Intervals | matematicasVisuales
Student's t-distributions | matematicasVisuales Calculating probabilities in t Student distributions (Spanish) | matematicasVisuales


Random Variables
Binomial distribution | matematicasVisuales
When modeling a situation where there are n independent trials with a constant probability p of success in each test we use a binomial distribution.
Normal approximation to Binomial distribution | matematicasVisuales
In some cases, a Binomial distribution can be approximated by a Normal distribution with the same mean and variance.
Poisson distribution | matematicasVisuales
Poisson distribution is discrete (like the binomial) because the values that can take the random variable are natural numbers, although in the Poisson distribution all the possible cases are theoretically infinite.
Normal distributions | matematicasVisuales
The Normal distribution was studied by Gauss. This is a continuous random variable (the variable can take any real value). The density function is shaped like a bell.
Normal Distributions: One, two and three standard deviations | matematicasVisuales
One important property of normal distributions is that if we consider intervals centered on the mean and a certain extent proportional to the standard deviation, the probability of these intervals is constant regardless of the mean and standard deviation of the normal distribution considered.
Normal Distributions: (Cumulative) Distribution Function | matematicasVisuales
The (cumulative) distribution function of a random variable X, evaluated at x, is the probability that X will take a value less than or equal to x. In this page we study the Normal Distribution.
Normal Distributions: Probability of Symmetric Intervals | matematicasVisuales
Calculating probabilities of symmetric intervals around the mean of a normal distribution.
Student's t-distributions | matematicasVisuales
Student's t-distributions were studied by William Gosset(1876-1937) when working with small samples.
Calculating probabilities in t Student distributions (Spanish) | matematicasVisuales