Probability Distributions & Descriptive Statistics - Joint Probability Distributions

7 important questions on Probability Distributions & Descriptive Statistics - Joint Probability Distributions

What is a joint probability distribution?

A joint probability distribution shows the probability that two random variables XX X and YY Y take on specific values together:

P(X = x, Y = y) P(X = x, Y = y)

What is the marginal probability distribution?

The marginal of X (or Y) is the total probability of each variable alone:

What is the variance of XX X?

Var(X) = E(X^2) − [E(X)]^2
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What is the standard deviation of XX X?

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What is the expectation of the product XY?

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What is the covariance between X and Y?

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What is the correlation between X and Y?

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