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Quiz 2

Quiz 2 - University of Arkansas at little Rock Department...

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University of Arkansas at little Rock Department of Systems Engineering SYEN 3314 Probability and Random Signals Summer 2009 Quiz 2 Monday, June 15, 2009 This is a closed book Quiz. Calculators are not allowed. The quiz has 3 questions to be answered in 15 mn Please be neat, we cannot grade what we cannot decipher. Name 1

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Question 1 You have a shuffled deck of three cards: 2,3, and 4. You draw one card. Let C i denote the event that card i is picked. Let E denote the event that card chosen is a even-numbered card. 1. What is P [ C 2 | E ], the probability that the 2 is picked given that an even-numbered card is chosen. 2. What is the conditional probability that an even-numbered card is picked given that the 2 is picked? 2
Question 2 1. Shuffle a deck and observe each card. The outcome of the experiment is an ordered sequence of the 52 cards of the deck. How many possible outcome are there? 2. What is the number of ways of choosing 5 starters for a basketball team with 1 players? 3. How many binary sequence of length 10 there are? 3

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Question 3 Each time a modem transmits one bit, the receiving modem analyzes the
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Quiz 2 - University of Arkansas at little Rock Department...

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