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Math
Virginia Math
Probability and Statistics: Probability
Given two or more events, determine whether the events are complementary, dependent, independent, and/or mutually exclusive, and compute the probability of those events.
- Calculating conditional probability
- Compound probability of independent events
- Conditional probability and independence
- Conditional probability and independence
- Conditional probability tree diagram example
- Conditional probability using two-way tables
- Dependent probability introduction
- Independent events example: test taking
- Tree diagrams and conditional probability
Represent and calculate probabilities using Venn diagrams, tree diagrams, and two-way tables.
- Addition rule for probability
- Addition rule for probability (basic)
- Calculating conditional probability
- Conditional probability and independence
- Conditional probability tree diagram example
- Conditional probability using two-way tables
- Probability with Venn diagrams
- Tree diagrams and conditional probability
- Two-way tables, Venn diagrams, and probability
Apply the addition rule, the multiplication rule, and complementary rule to calculate probabilities.
- Addition rule for probability
- Addition rule for probability (basic)
- Compound probability of independent events
- Conditional probability tree diagram example
- Dependent probability introduction
- Independent events example: test taking
- Probability with Venn diagrams
- Tree diagrams and conditional probability
- Two-way tables, Venn diagrams, and probability
Calculate conditional probabilities to determine the association or independence of two events.
Identify discrete random variables and create a table to represent valid discrete probability distributions within the context of a problem.
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Calculate and interpret the mean (expected value) and standard deviation for a discrete random variable within the context of a problem.
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Determine if a discrete random variable satisfies the conditions for a binomial distribution.
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Design and conduct a simulation of a binomial distribution.
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Calculate and interpret probabilities from a binomial distribution within the context of a problem.
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Calculate the mean and standard deviation for binomial distributions.
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Describe the center, shape, and spread of a discrete random variable within the context of a problem.
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Compare and contrast discrete and continuous distributions.
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Represent probability as the area under the curve of a normal distribution using the Empirical Rule and graphing technology.
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Describe the center, shape, and spread of normal distributions within the context of a problem.
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Compare and contrast two or more sets of normally distributed data using 𝑧-scores, percentiles, or probabilities within the context of a problem.
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Standardize a data value from a normal distribution and interpret the 𝑧-score within the context of a problem.
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Calculate and interpret probabilities of a normal distribution using technology within the context of a problem.
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