Students will use the formula to calculate the expected (mean) of a random Benchmark Clarification variable. Content Items may include probability distributions or raw data. Items may include discrete random variables, discrete uniform variables, binomial or exponential data. Limits Stimulus Items must be set in mathematical or real-world context. Attribute Response Items may be in fraction or decimal form. Attributes Sample Item A box contains ten $1 bills, five $2 bills, three $5 bills, one $10 bill, and one $100 bill. A person is charged $20 to select one bill. What is the expected value, and interpret this value in the context of this problem? Answer: $7.25 Statistics and Probability Reporting Category Standard Using Probability to Make Decisions MAFS.912.S-MD.2.7 Benchmark Number Analyze decisions and strategies using probability concepts (e.g., product testing, Benchmark medical testing, pulling a hockey goalie at the end of a game). Also MAFS.912.S-ID.1.4 Assesses MAFS.K12.MP.1.1 Selected Response (Multiple Choice), Gridded Response, Short Answer Item Types Benchmark Students will analyze decisions and strategies using the probability formulas, and/or to solve real world statistics problems. Clarification
Benchmark Clarification Students will use the formula to calculate the expected (mean) of a random variable. Content Limits Items may include probability distributions or raw data. Items may include discrete random variables, discrete uniform variables, binomial or exponential data. Stimulus Attribute Items must be set in mathematical or real-world context. Response Attributes Items may be in fraction or decimal form. Sample Item A box contains ten $1 bills, five $2 bills, three $5 bills, one $10 bill, and one $100 bill. A person is charged $20 to select one bill. What is the expected value, and interpret this value in the context of this problem? Answer: $7.25 Reporting Category Statistics and Probability Standard Using Probability to Make Decisions Benchmark Number MAFS.912.S-MD.2.7 Benchmark Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game). Also Assesses MAFS.912.S-ID.1.4 MAFS.K12.MP.1.1 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Benchmark Clarification Students will analyze decisions and strategies using the probability formulas, and/or to solve real world statistics problems.