matematicas visuales visual math
Probability

Binomial distribution | matematicasVisuales Normal approximation to Binomial distribution | matematicasVisuales Poisson distribution | matematicasVisuales Normal distribution | matematicasVisuales One, two and three standar deviations | matematicasVisuales Calculating probabilities in Normal distributions | 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 distribution | 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.
One, two and three standar 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.
Calculating probabilities in Normal distributions | matematicasVisuales
It may be interesting to familiarize ourselves with the probabilities correspondig to different intervals in normal distributions.
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