MATH 218 Study Guide - Midterm Guide: Yellow Sign, Probability Distribution, Random Variable

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Bruck (11am), (12noon) he (10am) lin (11am), (12noon) You must indicate how you derived them (show work) to obtain full credit. Points may be deducted if you do not justify your final answer. You could write, let p be the answer to a), and solve b) in terms of p: the value of a problem is indicated in parentheses following the problem number. The exam is worth a total of 200 points. Problem 1. (20 points) a purchasing department finds that 75% of its special orders are received on time. Of those orders that are on time, 80% meet specifications completely; of those orders that are late, 60% meet specifications: (4 points) construct a probability tree for this situation. Be sure to include the events, the probabilities, conditional probabilities, and joint probabilities, as appropriate: (3 points) convert the probability tree in part a) into a joint probability table. Find the probability that all four orders meet specifications.