131A_1_hw3

# 131A_1_hw3 - EE 131A Probabilities Instructor Vwani...

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EE 131A Problem Set #3 Probabilities October 21, 2005 Instructor: Vwani Roychowdhury Due: October 28, 2005 1. The amount of time cars are parked in a parking lot follows an exponential probability law with average time of 1 hour. The charge for the parking is 1 dollar for each half- hour or less. Find the probability that a car pays k dollars. 2. Suppose we have 3 cards identical in form except that both sides of the ﬁrst card are colored red, both sides of the second card are colored black, and one side of the third card is colored red and the other side black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black? 3. Problem 2.54 4. Show that if A , B , C are independent events, then the events A c , B c , C c are also inde- pendent. 5. Show that if

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• Spring '05
• Roychowdhary
• Probability theory, Randomness, Dice, Vwani Roychowdhury, exponential probability law, EE 131A Probabilities

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131A_1_hw3 - EE 131A Probabilities Instructor Vwani...

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