53 53.) (+) Develop a probability distribution for a random variable defined for a sample Students: 685-695 space in which probabilities are assigned empirically; find the expected value. Given a simulation or real-life situation in which probabilities are assigned empirically, Example: Find a current data distribution on the number of television sets per household in the United States, and calculate the expected number of sets per Create a probability household. How many television sets would you expect to find in 100 randomly distribution and determine the selected households? expected value of the distribution. 44 44.) Understand statistics as a process for making inferences about population Students: 685-729 parameters based on a random sample from that population. [S-IC1] Given a statistical question about a population, Describe and justify a data collection process that would result in a random sample from which inferences about the population can be drawn, Explain and justify their reasoning concerning data collection processes that do not allow generalizations (e.g., non-random samples) from the sample to the population. 45 45.) Decide if a specified model is consistent with results from a given data-generating Students: 685-729 process, e.g., using simulation. [S-IC2] Given a data-generating process, Example: A model says a spinning coin falls heads up with probability 0.5. Would a Identify a model that fits the result of 5 tails in a row cause you to question the model? data generating process, Find the theoretical probability or expected values generated by the model, Simulate the process and compare the results to theoretical probability or
53 53.) (+) Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value. Example: Find a current data distribution on the number of television sets per household in the United States, and calculate the expected number of sets per household. How many television sets would you expect to find in 100 randomly selected households? Students: Given a simulation or real-life situation in which probabilities are assigned empirically, Create a probability distribution and determine the expected value of the distribution. 685-695 44 44.) Understand statistics as a process for making inferences about population parameters based on a random sample from that population. [S-IC1] Students: Given a statistical question about a population, Describe and justify a data collection process that would result in a random sample from which inferences about the population can be drawn, Explain and justify their reasoning concerning data collection processes that do not allow generalizations (e.g., non-random samples) from the sample to the population. 685-729 45 45.) Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. [S-IC2] Example: A model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? Students: Given a data-generating process, Identify a model that fits the data generating process, Find the theoretical probability or expected values generated by the model, Simulate the process and compare the results to theoretical probability or 685-729
PreCal%20Curriculum%20Pacing%20Guide.docx