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What is a discrete random variable?

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A discrete random variable is a type of variable that can take on a countable number of distinct values, often representing counts or whole numbers.

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What does the standard deviation of a random variable represent?

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The standard deviation measures the amount of variation or dispersion of a set of values. In the context of a random variable, it indicates how much the values typically deviate from the mean.

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What is the expected value of a random variable?

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The expected value is the long-term average or mean of a random variable, calculated by multiplying each possible outcome by its probability and summing the results.

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CCSS.HSS.MD.A.2

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How do you calculate the expected value of a discrete random variable?

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Multiply each possible outcome by its probability and add all the products together.

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CCSS.HSS.MD.A.2

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What is the difference between discrete and continuous random variables?

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Discrete random variables can take on specific, countable values, while continuous random variables can take on any value within a given range.

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If the mean number of cars owned by households is 1.75, what does this imply?

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It implies that, on average, households own 1.75 cars.

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What does a standard deviation of 1.08 indicate in the context of the number of cars owned?

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It indicates that the number of cars owned by households typically varies by about 1.08 cars from the mean.

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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.3

CCSS.HSS.MD.A.4

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What is the significance of the mean in a probability distribution?

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The mean represents the central tendency of the distribution, indicating where the center of the data lies.

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What is an example of a discrete random variable?

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The number of students in a classroom is an example of a discrete random variable, as it can only take on whole number values.