Contents
What is a mixture component?
Mixtures are physically combined structures that can be separated into their original components. A chemical substance is composed of one type of atom or molecule. A mixture is composed of different types of atoms or molecules that are not chemically bonded.
What is a mixed variable?
1 Mixed Random Variables. These are random variables that are neither discrete nor continuous, but are a mixture of both. In particular, a mixed random variable has a continuous part and a discrete part. Thus, we can use our tools from previous chapters to analyze them.
What are the 2 types of mixture?
A mixture is made when two or more substances are combined, but they are not combined chemically. There are two main categories of mixtures: homogeneous mixtures and heterogeneous mixtures.
What do you call the components of a mixture distribution?
The individual distributions that are combined to form the mixture distribution are called the mixture components, and the probabilities (or weights) associated with each component are called the mixture weights.
What happens when you mix two pure substances?
If we take two or more pure substances and mix them together, we refer to this as a mixture. Mixtures can always be separated again into component pure substances, because bonding among the atoms of the constituent substances does not occur in a mixture.
Can a mixture be an arbitrary probability distribution?
The mixture components are often not arbitrary probability distributions, but instead are members of a parametric family (such as normal distributions), with different values for a parameter or parameters.
How is a density function similar to a mixture distribution?
The construction of such distributions has a formal similarity to that of mixture distributions, with either infinite summations or integrals replacing the finite summations used for finite mixtures. Consider a probability density function p ( x; a) for a variable x, parameterized by a.