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set3 - ECSE-305 Winter 2009 Probability and Random Signals...

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ECSE-305, Winter 2009 Probability and Random Signals I Assignment #3 Posted: Tuesday, Jan. 27, 2009. Due: Tuesday, Feb. 3, 2009, 2h30pm (in class). Important notes: Do NOT use the assignment box in Trottier anymore. Assignment without this cover page will not be marked. 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 man randomly chooses one of the six parks in his neighborhood everyday and goes there for hiking. He was seen in one of these parks, Westmount Park, once during the last ten days. What is the probability that during this period, he has hiked in this park two or more times? 2. Cards are drawn at random from an ordinary deck of 52, one-by-one and without replacement. Let A denote the event that no heart is drawn before the ace of spades is drawn. (a) Find P ( A ) by first viewing A as a union of 39 mutually exclusive events and then using the law of total probability. (b) Repeat but this time, view A as a union of ( 52 14 ) mutually exclusive events.
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