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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.
Obtain a timing diagram for a positive-edge-triggered JK master-slave flip-flop during four clock pulses. Show the timing diagrams for C, J, K, Q and Q'. Assume that before the first pulse: output Q is equal to 1, J=0 and K=1.
ts diode acts as a constant 1.0 V drop. the input voltage is 12.0 V. tje ;pad os a 4 ohm resistor. what is the highest possible output voltage magnitude, and at what value duty ratio does it occur
A sinusoidal voltage of peak value 169.9 is applied to a load Z=16-j9. a)What is the peak active power delivered to the load b) What is the value of the average active power delivered to the load
A digital circuit uses two 74LVC2G74 D-FFs operating at VCC =2.5 V. (The PRE and CLR are deactivated.) The D input to one of theFFs is driven by the Q-bar output of the same FF. The D input tothe other FFs is driven by an XOR gate.
For the same functions,we have available as many of the decoders described below as needed plus 2 eight-input OR gates.Show a block diagram for this implementation. All inputs areavailable both uncomplemented and complemented.
A 150MW alternator generates an open-circut line-t0-line voltage of 12kV at nomial DC excitiation. When the terminals are placed in short-circuit the resulting current per phase is 8000A. a) Calculate the approximate value of the synchronous reacta..
A 37.5-kVA, 6900-230V, 60Hz, single phase transformer is operating in the step down mode at rated load, rated voltage, and 0.68 power factor lagging. The equivalent resistance and reactance referred to the low side are 0.0224Ω and 0.0876Ω
A step down chopper is to be used to supply power from 600 overhead wire to commutator motor on a trolley bus . The motor may be modeled as a generated direct voltage in series with a resistance of .2? and inductance of 25mH.
Design a filter with lower frequency cut-off: 10Hz, upper frequency cut-off: 2KHz, gain of 5, and an input resistance greater than 5kOhms.
Input Xi and Yi of each Full Adder circuit in an arithmetic circuit has the digital logic specified by the following Boolean functions: Xi =Ai Yi = B*iS + BiCin* Where S is a selection variable, and Cin is the input carry, and Ai and Bi are the inp..
The wavelenght of monochromatic red light is 440nm. Determine the velocity electron moving in free space, if the wavelenght of the electron is the same 440nm. Are the electron and light (photon) momenta equal
Determine Q and Q' output waveform for positive edge-triggered S-R flip-flop. Assume that positiveedge-triggered S-R flip-flop is initially reset.
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