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X & Y are Gaussian random variables with E[X]=1, E[Y]=2, E[XY]=.1, VAR[X]=5 & VAR[Y]=10. Define the vector V=(matrix) 1 1;1 -1 matrix X;Y. Find the mean of E[V], covariance martix for V, use matrix notation and write the density f(V) using the result from the mean and covariance martix.
If a 2 microfarad capacitor is charged to 12 volts and then connected across a resistor of 100 ohms: Determine the initial charge on the capacitor, initial current through the 100 ohm resistor and the time constant.
The two wattmeters read 111 KW and 58 kW, respectively. Calculate the approximate power output in HP, losses and the corresponding power factor of the induction motor. There is an ammeter connected in the line "b".
suppose we use a 32-bit unsigned fixed-point representation with the binary point to the left of the most-significant bit of the 32-bit number. (We'll have a range of 0 - almost 1.) What is the resolution of this representation
A digital oscillator delivers two sinusoidal signals at 10 kHz and 12 kHz, sampled at 60 kSa/s. What is the minimum FFT length N that will result in a leakage-free FFT if both tones are present?
Students should type up, assemble and emulate the BIN2ASCII program which converts the value entered in R3 from Hexadecimal to ASCII. This should be done by dividing R3 by 10 (decimal) and converting the remainder to ASCII
Design a synchronous sequential circuit with one input line and one output line that recognizes the input string x = 1111. The circuit is also required to recognize overlapping sequence such that if the input string is x = 1101111111010
Design a Common Emitter amplifier with no bypass capacitor which has an overall gain of AV=-15 when the input voltage has a source impedance (Rsource) of 2k, and the amplifier itself has an Rin= 4k, Rload= 6k,VCC= 15V,VBE= 0.7V
Calculate the FLAT BAND POTENTIAL and the THRESHOLD VOLTAGE for a real n+ polysilicon / p- silicon MOS diode having Na= 1017 cm^-3 and oxide thickness d = 5 nm. Assume that the oxide has only fixed oxide charges (Qf)
A microcontroller manufacturer, Agduino, offers a single product which is produced at two different plants. The first plant located in college station produces 2/3 of the microcontrollers. The remaining microcontrollers come from Austin.
calculate the convolution (x1[x]*x2[k]) for the following pairs of sequences: a-) x1[k]=u[k+3]-u[k-2] and x2[k]=u[k+5]-u[k-4] b-) x1[k]=0.5^k u[k] and x2[k]=cos Pi*k u[-k]
Consider a satellite communication link with a one way propagation delay of 300ms between the sender and receiver, operating at 10Mbps using packets of length 1500bytes. Length of the ACK packet is also 1500 bytes.
Suppose the voltage across a telephone line at the subscriber drops from 48V to 10V when the phone goes off hook. If the telephone instrument has a resistance of 200 ohms when off hook and represents an open circuit
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