Probability Distribution

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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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CCSS.HSS.MD.A.4

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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 probability distributions and continuous probability 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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CCSS.7.SP.C.7A

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What is the range of probabilities in a probability distribution?

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In a probability distribution, all probabilities must be between 0 and 1 inclusive.

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CCSS.7.SP.C.5

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What does P(x) represent in a probability distribution?

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P(x) represents the probability of a random variable X taking on the value x.

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What is the significance of the P(x) value?

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The P(x) value indicates the likelihood of a specific outcome occurring in a probability distribution.

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Can probabilities in a probability distribution be negative?

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No, probabilities in a probability distribution cannot be negative; they must be between 0 and 1 inclusive.

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CCSS.7.SP.C.5

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What is the relationship between probability distributions and random variables?

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Probability distributions describe the behavior of random variables by assigning probabilities to their possible values.

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