Probability Distribution

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What is a probability distribution?

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A probability distribution is a mathematical function that describes the likelihood of obtaining the possible values that a random variable can take.

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What are the two main types of probability distributions?

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The two main types of probability distributions are discrete and continuous distributions.

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What is a discrete probability distribution?

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A discrete probability distribution is one that deals with discrete random variables, which can take on a countable number of values.

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What is a continuous probability distribution?

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A continuous probability distribution is one that deals with continuous random variables, which can take on an infinite number of values within a given range.

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What is the sum of probabilities in a valid probability distribution?

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The sum of all probabilities in a valid probability distribution must equal 1.

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What does it mean if a probability distribution is not valid?

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If a probability distribution is not valid, it means that the sum of the probabilities does not equal 1 or that probabilities are negative.

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How do you calculate the proportion of a specific range in a probability distribution?

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To calculate the proportion of a specific range in a probability distribution, you integrate the probability density function over that range for continuous distributions or sum the probabilities for discrete distributions.

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What is the probability density function (PDF)?

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The probability density function (PDF) describes the likelihood of a continuous random variable taking on a particular value.

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What is the cumulative distribution function (CDF)?

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The cumulative distribution function (CDF) gives the probability that a random variable is less than or equal to a certain value.

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What is the expected value in probability distributions?

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The expected value is the long-term average or mean of a random variable, calculated as the sum of all possible values weighted by their probabilities.

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