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350, EEE Fall 2009 Homework #2 Due Tuesday, 09/15/2009
Problem 1. We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. (a) Find the probability that doubles were rolled. (b) Given that the roll resulted in a sum of 4 or less, find the conditional probability that doubles were rolled. (c) Find the probability that at least one die is a 6. (d) Given that the two dice land on different numbers, find the conditional probability that at least one die is a 6. Problem 2. The disk containing the only copy of your thesis just got corrupted, and the disk got mixed up with three other corrupted disks that were lying around. It is equally likely that any of the four disks holds the corrupted remains of your thesis. Your computer expert friend offers to have a look, and you know from past experience that his probability of finding your thesis from any disc is 0.4 (assuming the thesis is there). that Given he searches on disk 1 but cannot find your thesis, what is the probability that your thesis is on disk i, for i = 1, 2, 3, 4? Problem 3. A new test has been developed to determine whether a given student is overstressed. This test is 95% accurate if the student is not overstressed, but only 85% accurate if the student is in fact overstressed. It is known that 99.5% of all students are overstressed. Given that a particular student tests negative for stress, what is the probability that the test results are correct, and that this student is not overstressed? Problem 4. A magnetic tape storing information in binary form has been corrupted, so it can only be read with bit errors. The probability that you correctly detect a 0 is 0.9, while the probability that you correctly detect a 1 is 0.85. Each digit is a 1 or a 0 with equal probability. Given that you read a 1, what is the probability that this is a correct reading?

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ASU - EEE - EEE-350

EEE 350, Fall 2009 Homework #3 Due Tuesday, 09/22/2009Problem 1. An internet access provider (IAP) owns two servers. Each server has a 50% chance of being "down" independently of the other. Fortunately, only one server is necessary to allow the IAP to pr

ASU - EEE - EEE-202

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2.88 Given I"=2 mA in the network in Fig. P2.88,find V.I'VA3v..1 kn+ VJ1 kfl't -Iq1 kfl~+-2kf!.,._I: :.~ ,2)C.KC,.L"1,). t I~.= I~VA :. -2,h - 2-D

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Irwin, Basic Engineering Circuit Analysis, 9/E1SOLUTION:Is>R112VIxR3R2R4R6R5The correct answer is d.Req = cfw_ [(8 + 2) 10] + 1] Req = (6 3) + 1 = 3Is = 12 12 = = 4A Req 3Req = cfw_ [( R5 + R6 ) R4 ] + R3 ]3 + 1R2 + R1R ' = [( R5 + R6

ASU - EEE - EEE-202

Solutions to FE Problems Chapter 2 2FE-1 What is the power generated by the source in the network in Fig. 2PFE-1? The correct answer is b. aRSR1R2120Vc R3 R4 R5bResistors R1, R2, and R3 are connected in delta. A delta-wye transformation can be cond

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ASU - EEE - EEE-350

INTRODUCTIONTO byPROBABILITYDimitri P. Bertsekas and John N. Tsitsiklis CHAPTER 1: ADDITIONAL PROBLEMSLast updated: September 12, 2005SECTION 1.1. Sets.Problem 1. We are given that P (A) = 0.55, P (B c ) = 0.35, and P (A B) = 0.75. Determine P (B) a

ASU - EEE - EEE-350

INTRODUCTIONTO byPROBABILITYDimitri P. Bertsekas and John N. Tsitsiklis CHAPTER 2: ADDITIONAL PROBLEMSSECTION 2.2. Probability Mass FunctionsProblem 1. The probability of a royal flush in poker is p = 1/649, 740. Show that approximately 649, 740 hand