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hw1_fall10

# hw1_fall10 - ECE 603 Probability and Random Processes Fall...

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ECE 603 - Probability and Random Processes, Fall 2010 Homework #1 Due: 10/1/10, in class HW #2 will be posted 9/24/10, also due 10/1/10. 1. You are a contestant on a game show, where you are asked a sequence of five questions, each worth a certain number of points: Question 1: 10 points Question 2: 10 points Question 3: 10 points Question 4: 20 points Question 5: 30 points You answer all five questions. For each question you get correct, you get the corresponding number of points. If you score more than 25 points total, you win the game. If you score less than 25 points total, you lose the game. Let be the event that you get question correct. Based on your general knowledge, you are able to construct the following probability model: , , and . , , and form a partition. and . is independent of all of the other events. (a) Find , the probability that you get Question 4 correct. (b) Find , the probability that you get Question 3 correct. (c) Let be the event that you win the game. Write a set expression (unions and intersections) for the event in terms of , , , , and

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hw1_fall10 - ECE 603 Probability and Random Processes Fall...

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