Problem 2 (Probability table, conditional probability and independence). You fly from Seattle to Pittsburgh with a 35-minute connection in Chicago. If you miss your connection, you will have to spend the night in Chicago. The probability that your flight from Seattle to Chicago arrives on time. is 0.8; the probability that it is delayed is 0.2. If you arrive on time in Chicago, the probability that you make the connection to Pittsburgh is 1, If you delayed arriving in Chicago, the probability that you make your connection to Pittsburgh is 0.4. (2.1) Easy. What is the probability that your flight is delayed arriving in Chicago AND you make your connection in Chicago. (2.2) Easy. What is the probability that you make your connertion in Chicago? (2.3) Easy. Consider the following events: O = Flight from Seattle arrives ON TIME in Chicago; D Flight from Seattle is DELAYED arriving in Chicago; M = You MAKE the connection in Chicago, N = You do NOT' make the connection and you spend the night in Chicago. Fill in the probability table. D 0.8 0.2