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Suppose the random variable X has an exponential distribution,
We wish to estimate the probability of the event via simulation. We will compare the standard Monte Carlo estimate,
where the random variables Xi are chosen according to the exponential distribution specifed by PDF with an importance sampling estimate,
where the random variables are chosen from a suitable distribution specified by its PDF Note that both estimators are unbiased, so we will compare these estimators by examining their variances.
(a) Find the variance of the Monte Carlo estimate.
(b) Find the variance of the IS estimator assuming that the random variables are chosen from a scaled exponential distribution
(c) Assuming that XO = 20 find the value of a that minimizes the variance of the IS estimator using the scale exponential distribution. (d) How much faster do you expect the IS simulation to run as compared to the MC simulation?
For the network of given figure: -Convert the voltage source to a current source.- Reduce the network to a single current source, and determine the voltage V1.
a) Calculate alpha, omega-sub-delta, and omega-sub-zero. b) write the equation which describes the current i for t>0. c) determine the maximum value of i, and the time at which it occurs, if the inductor initially stores no energy and v(0-)=9V.
design an inverting amplifier with an input resistance of 20kΩand a gain of-10.include a resistor to compensate for bias current.design a summing amplifier such that Vo=-(10V1+2V2+0.5V3).
question 1ai give three advantages of a three-phase system over a single-phase system.ii there are two basic
In the circuit given below, I = 12u(t) A. - Find the response v(t) for t > 0. - The voltage equation is v(t) = [D + A + BeCt]u(t) V,
Two transistors, fabricated with the same technology but having different junction areas, when operated at a base emitter voltage of 0.75V, have collector currents of 0.2mA and 5mA. A. Find Is for each device.
Two large plates at temperatures of 90C and 70C are separated by a steel rod .3m long and 0.025m in diameter. The rod is welded to each plate. The space between the plates is filled with insulation that also insulates the circumference of the rod.
The input signal to a filter contains components that range in frequency from 100 Hz to 50 kHz. We wish to reduce the amplitude of the 50-kHz component by a fctor of 200 by passing the signal through a first-order lowpass filter.
Investigate and produce a report on the main different logic families and their requirements - Describe with the use of circuit diagrams the difference between TTL (74 series) and CMOS (4000) integrated circuits.
A 150 MVA, 24 kV, 123% three-phase synchronous generator supplies a large network. The network voltage is 27 kV. The generator operates with an induced voltage, which is twice the rated line-to-neutral voltage.
What is the maximum number of clock pulses needed to return a 4-bit Johnson counter to its original state?- Which of the following does a UART contain?
Design a synchronous 20-to-25 counter using the minimum number of DFFs.
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