Todennäköisyysfunktioiden

todennäköisyysfunktioiden is the Finnish term for probability functions. These functions are fundamental concepts in probability theory and statistics, used to describe the likelihood of different outcomes occurring in a random experiment or event. There are two main types of probability functions: probability mass functions and probability density functions.

A probability mass function (PMF), also known as a frequency function, is used for discrete random variables. It assigns a probability to each possible value that the discrete variable can take. The sum of all probabilities in a PMF must equal 1. For example, the PMF of a fair six-sided die roll would assign a probability of 1/6 to each of the numbers 1 through 6.

A probability density function (PDF) is used for continuous random variables. Unlike PMFs, PDFs do not assign probabilities to specific values, as there are infinitely many possible values for a continuous variable. Instead, PDFs describe the relative likelihood for a continuous random variable to take on a given value. The area under the curve of a PDF between two points represents the probability that the variable falls within that range. The total area under a PDF curve is always equal to 1. Examples of distributions described by PDFs include the normal distribution and the uniform distribution.