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1) A discrete memoryless source has a symbol alphabet of |A| = 10. Determine the upper and lower bounds on its entropy. 2) Let X be a random variable whose entropy H(X) is 8 bits. Suppose that Y(X) is a deterministic function that takes on a different value for each value of X. What is H(Y)? What is H(Y|X)? What is H(X|Y)? What is I(X,Y)? Suppose now that the deterministic function Y(X) is not invertible; so that different values of X may correspond to the same value of Y(X). In this case, what can be said about H(Y), and also about H(X|Y)? 3) A dishonest gambler has a loaded die which turns up the number 1 with probability 2/3 and the numbers 2 to 6 with probability 1/15 each. Unfortunately, he left his loaded die in a box with two honest dice and cannot tell them apart. He picks one die (at random) from the box, rolls it once, and the number 1 appears. Conditional on this result, what is the probability that he picked up the loaded die? He now rolls the die once more and it comes up 1 again. What is the possibility after this second rolling that he has picked the loaded die? Repeat the above, but assume that the first outcome was a 3 and the second was a 1. 4) A dishonest gambler has a loaded die which turns up the number 1 with probability 2/3 and the numbers 2 to 6 with probability 1/15 each. Unfortunately, he left his loaded die in a box with two honest dice and cannot tell them apart. He picks one die (at random) from the box, rolls it once, and the number 1 appears. Conditional on this result, what is the probability that he picked up the loaded die? He now rolls the die once more and it comes up 1 again. What is the possibility after this second rolling that he has picked the loaded die? Repeat the above, but assume that the first outcome was a 3 and the second was a 1. 5) A dishonest gambler has a loaded die which turns up the number 1 with probability 2/3 and the numbers 2 to 6 with probability 1/15 each. Unfortunately, he left his loaded die in a box with two honest dice and cannot tell them apart. He picks one die (at random) from the box, rolls it once, and the number 1 appears. Conditional on this result, what is the probability that he picked up the loaded die? He now rolls the die once more and it comes up 1 again. What is the possibility after this second rolling that he has picked the loaded die? Repeat the above, but assume that the first outcome was a 3 and the second was a 1.
In a balanced three-phase wye-wye system, the load impedance is 10 +j1 Ohms. The source has phase sequence abc and the line voltage Vab = 220 Vrms /30°. The load voltage is VAN = 120 Vrms /0°.
Determine the phase angle difference between the voltage and current, and whether the voltage leads or lags the current, if (a) V = 240/243 V rms and I = 3/9 A rms; (b) the power factor of the load is 0.55 lagging; (c) the power factor of the load..
Assuming that your mother is not an electrical engineer or computerengineer, briefly tell how you would explain to her the difference between a RISC machine and a CISC machine and how you would explainthe advantage and disadvantages of each approa..
Consider a SISO link with received signal α = hs + n, where h is a zero-mean complex Gaussian random varaible with unit variance, where the power of the data signal s is mathbbE (IsI2) = P, and where n is a zero-mean AWGN scalar with unit variance..
Assume that an alkaline D-cell battery can maintain an average voltage of 1.25 V for 90 hours in a 10. load before becoming unusable. What average power is delivered to the load during the life of the battery
Design an analog divider circuit with a minimum number of op amps with Vo = f(V1/V2) where V1 and V2 are inputs of the circuit and Vo is the output and derive Vo in terms of V1 and V2 and the circuit elements.
Design a op-amp summer to produce the output voltage Vo=2v11-10v12+3v13-v14. Assume the largest resistor value is 500k ohms, and the input impedance seen by each source is the largest value possible.
The sampling frequency in a DSP system is fs=8 kHz. Anti-aliasing filter used in the system is the second-order Butterworth filter with cutoff frequency of fc=3.4 kHz. What is the percentage of aliasing level at the frequency f=2.5 kHz
Compute the inverse Fourier transform for X(ω) = cos 4ω. 5. A signal with the highest frequency component at 10 kHz is to be sampled. To reconstruct the signal, the sampling must be done at a minimum frequency of?
A baseband signal has frequencies from near dc to 4 kHz. Assume that the sampling rate is to be set at a value that will provide a guard band of 5 kHz for recovery. Determine the sampling rate (in kHz).
what is the magnitude and direction of the current flowing through the cross section?
From a high-level perspective, what is the major difference between the LM324 and the LF347. Which of the performance characteristics are significantly different because of this.
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