ENGRD2700F11HW4 - ENGRD 2700 F11 Basic Engineering...

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ENGRD 2700 F11 Basic Engineering Probability and Statistics Homework 4 The same conditions as outlined on Homework 1 apply to this work too. In particular, you may work with a partner and hand in a single homework with both your names (and net IDs, sections) on it. Ensure that your work is well presented, and your ideas are communicated clearly and concisely. For full marks, be sure to show your working. 1. Suppose that a baseball game between teams A and B is tied at the end of the 9th inning. To determine a winner, extra innings will be played until one team scores more runs in an inning than the other. Suppose that the probability that A scores more than B in an inning is 0.2, the probability that B scores more than A in an inning is 0.25, and the probability that the score remains tied is 0.55. (a) What is the distribution of the number X of extra innings that need to be played until a winner is determined (including the last one where one team scores more runs)? To answer this question, give a formula for P ( X = k ) for all relevant k .
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