Discrete Probability Distributions

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What is a probability distribution?

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A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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What is a discrete probability distribution?

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A discrete probability distribution is a probability distribution that shows the probabilities of outcomes with finite or countable values.

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What is a continuous probability distribution?

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A continuous probability distribution is a probability distribution that shows the probabilities of outcomes within a continuous range of values.

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How do you classify the time it takes for a light bulb to burn out?

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Continuous.

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What is the mean of a probability distribution?

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The mean is the average of all possible values, weighted by their probabilities.

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How do you calculate the mean of a discrete probability distribution?

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Multiply each outcome by its probability and sum all the products.

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What is standard deviation in probability distributions?

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Standard deviation measures the amount of variation or dispersion of a set of values.

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How do you calculate the standard deviation of a discrete probability distribution?

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Take the square root of the variance, which is the average of the squared differences from the mean.

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What is the variance of a probability distribution?

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Variance is the expectation of the squared deviation of a random variable from its mean.

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What is the difference between discrete and continuous variables?

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Discrete variables can take on a countable number of values, while continuous variables can take on an infinite number of values within a given range.