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Two random variables X and Y have a joint probability density function given by f(x,y) =kxy 0< or =to x< or =to 1,0 < or = to y < or equal to 1 =0 elsewhere
A). Determine the value of k that makes this a valid probability density function.
B). Determine the joint probability distribution function F(x,y)
C). Find the joint probability of the event X < or equal to 1/2 and Y> 1/2
A baseband signal has frequency components from 5 kHz to 15 kHz. Determine (a) the theoretical minimum sampling rate and (b) the maximum time interval between successive samples.
During an AP, the membrane potential typically moves from -70mV to +20mV and back again. In a cell with 10um radius and 1uF/cm^2, how many charges need to move across the membrane (and back again) to get this 90 mV voltage fluctuation?
Digital Communications, Order the following modulation types in terms of spectral efficiency (best to worse) and explain
S = {c(k + jl) | k = 3, 1, 1, 3 and l = 3, 1, 1, 3 and j = square root of -1, where c is a constant. Determine the value of c to ensure a unit energy constellation. Sketch this constellation. Find d^2 min and label the constellation points with bi..
The average noise power per unit bandwidth measured at the front end of an AM receiver is 10^(-3) watt per Hertz. The modulating wave is sinusoidal, with a carrier power of 80 kilowatts, and a sideband power of 10 kilowatts per sideband.
(a) Calculate the velocity of the holes and electrons in this material. (b) What doping level is necessary to provide a current density of 2 mA/micrometer^2 under these conditions? Assume the hole current is negligible.
A full-wave bridge rectifier circuit with a 1-kohms load operates from a 120-V (rms) 60-Hz household supply through a 10-to-1 step-down transformer having a single secondary winding
The upper and lower conducting plates of a large parallel-plate capacitor are separated by a distanced and maintained at potentials V0 and 0, respectively. A dielectric slab of dielectric constant 6.0
When the amplifier is operating with a bandwidth first of 10MHz, find? 1) The RMS input noise power level? 2) The audio output power level? 3) The RMS output noise power level?
calculate the extraction efficiency and find the current and voltage needed to obtain the desired optical output. Once you know the current density choose Area and Find Vf that will give you the desired current density and current (If= Jf x A= Jn ..
BJT Amplifiers Sketch an emitter-follower circuit with R1 = R2 = 50kohm ; RE = 2kohm. The collector of the npn transistor is connected to VCC = 5V and the input signal has an internal resistance, RS = 0.5kohm
The charge entering the positive terminal of an element is q = 10 sin 4 piet mC while the voltage across the element (plus to minus) is v = 2 cos 4 pie t V. (a) Find the power delivered to the element at t = 0.3 s.
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