Probability Density function, Probability distribution, and Probability
Could someone give me definitions with examples of each.
Please make the explanations as clear as possible.© BrainMass Inc. brainmass.com September 19, 2018, 5:33 am ad1c9bdddf - https://brainmass.com/statistics/probability-density-function/probability-distributions-302704
Let's start with the last term you listed above.
Probability is a way to quantify how likely some event is going to happen. It is always expressed as a number between 0 and 1, inclusive. A probability of 0 indicates no chance of occurrence, whereas a probability of 1 indicates sure occurrence.
Probability distribution is a function that maps events to their probability of occurrence. We can consider 2 cases -- first, in the discrete case (where events are indexed by values like 1, 2, 3, ...), the probability distribution is also called the probability mass function (pmf), and takes the form P(X = k) = p, where p is the probability of X = k. On the other hand, we have the ...
Solution includes detailed descriptions of each, as well as how to use probability density functions and probability distributions.