MATH 218 Study Guide - Midterm Guide: Poisson Point Process, Marginal Distribution, Null Hypothesis
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Company b is not so good, and 20 percent of their widgets are defective. Company c is pretty bad, and half of their widgets are defective. You take a random widget arriving at your company, and test it. Write d for the event that it is defective. 1a) draw a tree diagram to represent this situation. Include all events and probabilities involved individ- ual, conditional, and joint (intersection) probabilities. [reminders: branches from the root are labeled with individual probabilities, further branches are labeled with conditional probabilities, and terminal nodes represent intersections and should be labeled with the (joint) probability of that intersection]. 1f) suppose the tested widget is not defective. Let x denote the number of customers in the rst express line and y denote the number of customers in the second express line at any given time. During non-rush hours, the joint probability distribution of x and y is given by the following table:
