1. Suppose that there are four people in the Smith family. Their favorite ice cream place is just up the street. They always place their order for ice cream cones in order - youngest to oldest. Each person is equally likely to choose either rocky road or cookies and cream (the two best flavors ever created). Let R represent rocky road and let C represent cookies and cream. Draw a tree diagram depicting the sample space outcomes for this experiment. 2. Explain what it means for two events to be mutually exclusive. Define the term and provide an example using the scenario in #1 3. Explain what it means for two events to be independent Define the term and provide an example using the scenario in #1. 4. State Bayes Theorem and cite your source Then, explain what it is telling you in your own words Explain the purpose of Bayes' Theorem. (What is it used for?) 5. Explain how the values of a discrete random variable differ from the values of a continuous random variable 6 Classify each of the following random variables as discrete or continuous a X = the number of boys born to a couple with three children b/ X = the number of pills you have left in a bottle of aspirin c. X = the temperature of a cup of tea at a given time X = the number of incorrect answers on a 50-question true false test X = the time needed by a construction crew to finish repairing the road