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# set5 - ECSE-305 Winter 2009 Probability and Random Signals...

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ECSE-305, Winter 2009 Probability and Random Signals I Assignment #5 Posted: Tuesday, Feb. 10, 2009. Due: Tuesday, Feb. 17, 2009, 2h30pm (in class). Important notes: Do NOT use the assignment box in Trottier anymore. Assignments without this cover page will be discarded. Student #1: Name: ID: Student #2: Name: ID: Question Marks 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Total

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1. A certain basketball player makes a foul shot with probability 0.45. What is the probability that (a) his first basket occurs later than the sixth shot; (b) his first basket occur on his fourth shot and his second basket occur before his eight shot? 2. Suppose that jury members decide independently, and that each with probability p (0 < p < 1) makes the correct decision. If the decision of the majority is final, which is preferable, a three-person jury or a single juror. (Hint: you want to maximize the probability of a correct decision; the answer depends on p ). 3. The ECE Department of a certain University has 45 faculty members.
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