Florida B.E.S.T Standards for Mathematics

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MA.912.DP.4 Use and interpret independence and probability MA.912.DP.4.1: Describe events as subsets of a sample space using characteristics, or categories, of the outcomes, or as unions, intersections or complements of other event MA.912.DP.4.2: Determine if events A and B are independent by calculating the product of their probabilities. MA.912.DP. 4.3: Calculate the conditional probability of two events and interpret the result in terms of its context. MA.912.DP.4.4: Interpret the independence of two events using conditional probability. MA.912.DP.4.5: Given a two-way table containing data from a population, interpret the joint and marginal relative frequencies as empirical probabilities and the conditional relative frequencies as empirical conditional probabilities. Use those probabilities to determine whether characteristics in the population are approximately independent. MA.912.DP.4.6: Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. MA.912.DP.4.7: Apply the addition rule for probability, taking into consideration whether the events are mutually exclusive, and interpret the result in terms of the model and its context. MA.912.DP.4.8: Apply the general multiplication rule for probability, taking into consideration whether the events are independent, and interpret the result in terms of the context MA.912.DP.4.9: Apply the addition and multiplication rules for counting to solve mathematical and real-world problems, including problems involving probability MA.912.DP.4.10: Given a mathematical or real-world situation, calculate the appropriate permutation or combination MA.912.DP.6 Use probability distributions to solve problems. MA.912.DP.6.1: Define a random variable for a quantity of interest by assigning a numerical value to each individual outcome in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions. MA.912.DP.6.2: Develop a probability distribution for a discrete random variable using theoretical probabilities. Find the expected value and interpret it as the mean of the discrete distribution. MA.912.DP.6.3: Develop a probability distribution for a discrete random variable using empirical probabilities. Find the expected value and interpret it as the mean of the discrete distribution. MA.912.DP.6.4: Given a binomial distribution, calculate and interpret the expected value. Solve real-world problems involving binomial distributions. MA.912.DP.6.5 Solve real-world problems involving geometric distributions.