MA.912.DP.6

Use probability distributions to solve problems.

MA.912.DP.6.1Define 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.6.2Develop 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.6.3Develop 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.6.4Given a binomial distribution, calculate and interpret the expected value. Solve real-world problems involving binomial distributions.MA.912.DP.6.5Solve real-world problems involving geometric distributions.MA.912.DP.6.6Solve real-world problems involving Poisson distributions.MA.912.DP.6.7Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values and standard deviations. Evaluate and compare strategies on the basis of the calculated expected values and standard deviations.MA.912.DP.6.8Apply probabilities to make fair decisions, such as drawing from lots or using a random number generator.
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