What Marginal prob dist is
Marginal probability distribution is a way of summarizing the joint probability distribution of two or more random variables by showing the probability distribution of one variable, while the other variables are held fixed.
Steps for Marginal Probability Distribution:
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Begin by listing out the joint probability distribution of two or more random variables. This Joint Probability Distribution will show the probability of each possible outcome of the two variables.
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Select one of the random variables. This will be the variable for which you will calculate the marginal probability distribution.
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Calculate the probability of each outcome of the selected variable. This can be done by summing up the probabilities of all outcomes of the joint probability distribution that correspond to the outcome of the selected variable.
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Repeat this process for all the possible outcomes of the selected variable.
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You will then have the marginal probability distribution of the selected variable.
Examples
- The marginal probability distribution of a dataset can be used to determine the likelihood of a particular outcome in a given sample.
- The marginal probability distribution can be used to study the correlation between two random variables by examining the joint probability distribution of the two variables.
- The marginal probability distribution can be used to estimate the expected value of a discrete random variable.
- The marginal probability distribution can be used to calculate the conditional probability of an event given some information.
- The marginal probability distribution can be used to determine the unbiased estimation of the population parameters.