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Let (X, Y ) be a random vector described by a product pdf fXY (x, y) = fX(x)fY (y). Let FX and FY denote the corresponding marginal cdf's.
(a) Prove
(b) Assume, in addition, that X and Y are identically distributed, i.e., have the same pdf. Based on the result of (a) calculate the probability P(X>Y ).
With a help of a block diagram show the transfer function for transmitter and receiver system.
Convert both numbers to 4-bit values, take the 2's complement of 9 and add them. What happens to the carry out How does that compare with what happens when you subtract 8 from 9
If V1 = 10 V, V2 = 15 V, R1 = 4 ohm, and R2 = 6 ohm in the circuit of given figure, find the Thevenin equivalent for the network to the left of terminals a, b.
Find a minimum two level circuit (corresponding to the sum of products expressions) using AND and one OR gate per function for each of the following sets of functions: f(a,b,c,d) =fm(1,3,5,8,9,10,13,14) g(a,b,c,d) =fm(4,5,6,7,10,13,14)
Design a square wave generator that will provide a 4kHz square wave with a positive peak vlaue of +10V and negative peak value of -10V. You may use any number of op amps, resistors, and capacitors in this design.
Let Un be a sequence of iid zero-mean,unit-variance Gaussian random variables. A "low pass filter" takes the sequence Un and produces the sequence Xn =1/2 ( Un +Un-1) a.) Does this sequence converge in the mean square sense
A 3-D cubic unit cell contains four atoms whose centers are positional halfway up along each of the vertical cell edges and one atom each centered in the middle of the top and bottom faces.
Design a 3-tap FIR lowpass filter with a cutoff frequency of 1,500 Hz and a sampling rate of 8,000 Hz using a. rectangular window function b. Hamming window function.
design an embedded system that will include four ultrasonic range finders - assume these have 10m range one 3-axis
A 230 kV, 60 Hz, three-phase transposed overhead transmission line has one ACSR 954 kcmil conductor per phase and flat horizontal spacing with 8 m between adjacent conductors. Determine the inductance in H/m and the inductive reactance
If the resistance path from the wall outlet end of the neutral wire to ground is 23ohm. what is the voltage of that point (relative to ground) if a 26 W compact fluorescent bulb is connected to the outlet
Determine the electric fields in the three regions r = b.
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