Understanding The Fundamental Probability Principles In Practice

1 Mathematical Statistics- StatII Probability Theory- Q&A Practice Quiz1 Question1 : A retail store owner, unsure of the effectiveness of their weekly social media advertising, decided to administer a survey to customers entering the store. The survey asked whether each customer had seen the advertisement and whether they had made a purchase. The results, summarized in the following table, revealed the probabilities of : Purchase : Not Purchase : See the Ad : 81.0 81.0 Didnt see the Ad : 81.0 8100 1.1. Calculate the following probabilities : , , , | . Answer. The values in the table represent the following probabilities: Purchase : Not Purchase : See the Ad : Didnt see the Ad : From these data, we can calculate : | 1.2. Calculate . Explain this probability with Venn Diagram. What group of people does this probability represent ? Answer. This probability represents the probability of the symmetric difference between the two events A and B, and it expresses the percentage of people who bought only or watched the ad only, not both together, and it can be represented using a Venn diagram as follows :2 Fig.1 : Venn diagram for the symmetric difference between two