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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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 the standard deviation in a probability distribution?

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The standard deviation is a measure of the amount of variation or dispersion in a set of values, indicating how much the values deviate from the mean.

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

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To calculate the standard deviation, first find the mean, then compute the variance by summing the squared differences between each outcome and the mean, weighted by their probabilities, and finally take the square root of the variance.

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

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In a valid probability distribution, the sum of all probabilities must equal 1.

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What is a discrete probability distribution?

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A discrete probability distribution is one where the random variable can take on a countable number of distinct values.

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What is a continuous probability distribution?

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A continuous probability distribution is one where the random variable can take on an infinite number of possible values within a given range.

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What is the probability of an event?

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The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

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What does it mean if a probability is 0.05?

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A probability of 0.05 indicates that there is a 5% chance of the event occurring.

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How do you find a missing probability in a distribution?

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To find a missing probability in a distribution, subtract the sum of the known probabilities from 1.