# Probability, definitions and examples – including supporting formulas

I’m studying and need help with a Probability question to help me learn.

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Probability, definitions and examples – including supporting formulas

Answers to the following, including supporting formulas to explain

What makes a function of a discrete variable a candidate for a discrete random variabledistribution? What about the counterpart of this candidacy in the case of a continuous variable?

Explain significance of the mean, variance, and standard deviation for a random variable. Do the significances change when passing from the discrete case to the continuous case?

Provide a detailed discussion on the distribution of a discrete random variable, in general terms, and then provide a numerical example of this distribution. What are the mean and the standard deviation in your example? Hoes does this differ inthe case where the random variable is continuous? Explain.

How does the probability of union of disjoint events exhibit itself when dealing witha (discrete or continuous) random variable?

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