Probability is a measure of the likelihood that an event will occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.
A marginal probability distribution is a probability distribution that shows the probabilities of each outcome for one variable, regardless of the values of other variables.
To calculate marginal pdfs, you need to integrate the joint pdf (probability density function) over all possible values of the other variables.
A marginal pdf shows the probabilities of one variable, while a conditional pdf shows the probabilities of one variable given a specific value of another variable.
Marginal pdfs are important because they allow us to analyze the distribution of a single variable, without considering the influence of other variables. They also help us to calculate probabilities for specific events or ranges of values for that variable.