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Probability Independence: You look back on the past 250 days that you attended classes at FIU.

Probability Independence: You look back on the past 250 days that you attended classes at FIU. During that time, you either drove to campus or took the bus and either packed your lunch or ate in the cafeteria. Furthermore, it rained on 28% of the 250 days. You define the following events: A: {Drive to FIU} B: {Pack your lunch} C: {Rain} The data in the file "Independence" records the relationship between all three events. a. For each of the three pair-wise events, create a cross-tabulation reflecting how many times each event occurred coincident with each other event. b. For each of the pair-wise events (i.e. A-B), compute P(A and B), P(A), and P(B). c. For each of the pair-wise events (i.e. A-B), determine P(A|B), the conditional probability of A given B. d. Based on your results in (b) and (c), determine whether any of the pair-wise events are consistent with the property of statistical independence. Explain your answer

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