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What is a probability distribution?

Back

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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CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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How do you calculate the mean of a probability distribution?

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The mean (expected value) is calculated by multiplying each possible value by its probability and summing all these products.

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CCSS.HSS.MD.A.2

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What is the expected value in probability?

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The expected value is the average outcome of a random variable, calculated as the sum of all possible values, each multiplied by its probability.

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CCSS.HSS.MD.A.2

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What does the symbol σ represent in statistics?

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σ represents the population standard deviation, which measures the dispersion of a set of values.

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What is the difference between discrete and continuous random variables?

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

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How do you classify the number of cheeseburgers served at a restaurant?

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The number of cheeseburgers served is classified as a discrete random variable.

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What is the formula for calculating the variance of a probability distribution?

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Variance is calculated as the sum of the squared differences between each value and the mean, multiplied by their probabilities.

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What is a fair coin flip in terms of probability?

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A fair coin flip has two equally likely outcomes: heads (probability = 0.5) and tails (probability = 0.5).

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CCSS.7.SP.C.7A

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How do you find the mean of a set of data?

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To find the mean, sum all the values and divide by the number of values.

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CCSS.6.SP.B.5C

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What is the significance of rounding in probability calculations?

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Rounding is important to ensure that answers are presented in a clear and concise manner, especially in real-world applications.