Roll the number cube six times and record the data in the table provided. What do you notice about the outcome of actually rolling the number cube? Did anyone roll each number exactly once? The outcome most likely shows that not all numbers were rolled exactly once. Roll the number cube twenty more times and add tally marks to the table. Using colored pencils or a different color of pen, record the additional twenty rolls in the table with a new color. This will give you a reference point when reviewing the data. For this situation, we would expect an even distribution, but the actual outcome rarely results in data that matches the probability model. SOLVE PROBLEM NON-UNIFORM PROBABILITY MODELS – Maria and teacher decided to change the experiment. She placed name in the Michael’s Maria’s bag twice, name in the bag three times, and names in the bag two times Michael’s Jake’s Josh’s each, and name in the bag once. Decide if the new model is a uniform probability model Julia’s and explain why or why not. S, Study the Problem. Underline the question. This problem is asking me to find whether or not the model is uniform and explain why. O, Organize the Facts. First we identify the facts. Maria and teacher decided to Michael’s change the experiment. / She placed name in the bag twice, / name in the bag Maria’s Michael’s three times,/ and name in the bag two times each,/ and name in the bag Jake’s Josh’s Julia’s once./ Then we eliminate any unnecessary facts. In the last Step of O, we list the necessary facts. Ten total entries, two for Maria, three for Michael, two for Jake, two for Josh, and one for Julia. L, Line Up a Plan. Write in words what your plan of action will be. Identify the probability of choosing each name and decide whether or not the probabilities are the same. student’s Choose an operation or operations. Use a table to record the probabilities as fractions. V, Verify Your Plan with Action. Estimate your answer. This will not be a uniform probability model. Carry out your plan. We have a chart with each name and we identify the probability student’s of their name being chosen. This is not uniform because Michael and chances are different from Jake, Josh and Julia’s chances. Maria’s E, Examine Your Results.
Roll the number cube six times and record the data in the table provided. What do you notice about the outcome of actually rolling the number cube? Did anyone roll each number exactly once? The outcome most likely shows that not all numbers were rolled exactly once. Roll the number cube twenty more times and add tally marks to the table. Using colored pencils or a different color of pen, record the additional twenty rolls in the table with a new color. This will give you a reference point when reviewing the data. For this situation, we would expect an even distribution, but the actual outcome rarely results in data that matches the probability model. SOLVE PROBLEM – NON-UNIFORM PROBABILITY MODELS Maria and Michael’s teacher decided to change the experiment. She placed Maria’s name in the bag twice, Michael’s name in the bag three times, Jake’s and Josh’s names in the bag two times each, and Julia’s name in the bag once. Decide if the new model is a uniform probability model and explain why or why not. S, Study the Problem. Underline the question. This problem is asking me to find whether or not the model is uniform and explain why. O, Organize the Facts. First we identify the facts. Maria and Michael’s teacher decided to change the experiment. / She placed Maria’s name in the bag twice, / Michael’s name in the bag three times,/ Jake’s and Josh’s name in the bag two times each,/ and Julia’s name in the bag once./ Then we eliminate any unnecessary facts. In the last Step of O, we list the necessary facts. Ten total entries, two for Maria, three for Michael, two for Jake, two for Josh, and one for Julia. L, Line Up a Plan. Write in words what your plan of action will be. Identify the probability of choosing each student’s name and decide whether or not the probabilities are the same. Choose an operation or operations. Use a table to record the probabilities as fractions. V, Verify Your Plan with Action. Estimate your answer. This will not be a uniform probability model. Carry out your plan. We have a chart with each student’s name and we identify the probability of their name being chosen. This is not uniform because Michael and Julia’s chances are different from Jake, Josh and Maria’s chances. E, Examine Your Results.
Grade%207%20-%20Lesson%2034%20-%20Uniform%20and%20Non-Uniform%20Probability%20Models%20-%20English%20Transcript.docx