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E1. Gaussian random variable W is known to have P[W>4] = 1/2. Based on this information, (a) sketch its possible PDF. (b) Now also assume that Var[W] is very small. Refine your sketch in the first part taking into account this new information.E2. We are told that r.v. X has mean value = 10 and variance = 2/3. Draw the pdf of X under the assumption that (a) X is Gaussian, (b) X is continuous and uniform.E3. What would you predict to be the minimum entropy (in bits) of a Bernoulli random variable? Explain.E4. An exponential r.v. B is known to have mean value 5. Write a formula for its PDF:E5. Sketch the approximate PDFs for continuous, zero-mean uniform random variable X when given that (a) E[X2] = 1, and (b) E[X2] = 2.E6. A noisy communication channel distorts a transmitted sequence of pulses (at amplitudes A) by adding to it samples of random variable N (having zero mean and standard deviation N). We learned that an estimated probability of bit transmission error in the channel is Q(A/N). What assumption about r.v. N were made in order to arrive at this estimate?E7. Give a strategy for estimating the CDF of random variable X, when the PDF of X is not known.E8. Samples of a zero-mean, uniformly-distributed continuous r.v. X are passed through a uniform quantizer to produce r.v. Y. (The quantizer range matches the range of X.) What will be the quantization signal-to-noise ratio, in dB, when it is given that there are 100 quantizer output levels?E9. Discrete r.v. Y = 2X + 2, where r.v. X = Bernoulli(1/4). Find Cov[X,Y] by directly evaluating the expectation defining covariance, and then doublecheck your result using an alternate method
MSP430 is connected to a pressure sensor. The sensor output is between 0.5V and 1.75V. (a) How do you configure the MSP430's ADC12 to perform analog-todigital conversion with maximal resolution. Write your C code.
If the emission, factor of producing electric power by PV cells is 100 g of CO2 per kWh, by wind power is 15 g of CO2 per kWh, and by coal is 1000 g of CO2 per kWh, then find the ratio of CO2 emission when a) 15% of power comes from wind farms
Invesitagtion of Intermodulation through an amplifier, An amplifier is designed to handle frequencies around 9 GHz. The bandwidth of the amplifier is 2 GHz with a center frequency of 9 GHz
You have two biased coins. Coin A comes up heads with probability 1/4. Coin B comes up heads with probability 3/4. However, you are not sure which is which so you flip each coin once where the first coin you flip is chosen randomly.
Given a geostationary satellite with 36,000 km altitude, a downlink frequency of 4 GHz and a ground receiver with a 1/3 m diameter dish.What is the satellite transmitter's EIRP in order for a 1 pW input to the ground receiver
Using the Quine-McCluskey's method, find the SOP and POS solutions for the function below, and verify that they match with the Karnaugh map solutions. f (a,b, c, d) = \(\sum m(0,1,6,15)+ \sum d(3,5,7,11,14)\)
Assume that the$% are signed 8-bit and stored in consecutive locations starting at$504020. Assume that A0 points to the s. Also, write the main program in 68000assembly language to perform all initializations (A0 to $504020, A7 to $406020)
Will a 12VDC power supply capable of delivering 1 amp be able to power this heater (resistor). Use Ohm's law to show whether or not the power supply will be able to deliver the required current.
1. Draw the frequency spectrum at the output of the first balanced modulator. 2. If the filter is a low pass filter, draw the frequency spectrum at the output of the filter and amplifier.
Determine the volumes of each of these semiconductors that will on avg contain one hole. The intrinsic carrier concentrations are ni=1.02*10^10 cm^-3,ni= 2.1*10^ cm^-3, and 10^-7 cm^-3.
Build a series circuit consisting of a 130 V 60 Hz ac source, a 5 ohm resistor, a 53.05 mH inductor, and a 0.33156 mF capacitor. a) Draw the ac circuit diagram b) Sove for the phasor current and phasor voltages across each component.
how to evaluate power dissipated in the components of an RLC series circuit by using matlab software?
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