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Let X be a zero-mean random variable having a variance of 9 and let Y be another zero-mean random variable. The sum of X and Y has a variance of 29 and the difference of X and Y has a variance of 21.
(a) Find the variance of Y.
(b) Find the correlation coefficient of X and Y.
(c) Find the variance of U = 3X - 5Y.
How many turns are required for a circular loop of 100-mm radius to develop a peak emf of 10mV if the loop rotates 30r/s in the earth's magnetic field Take B = 60E-6T.
The circuit will have as inputs a minimum of two inputs; the binary equivalent of two decimal numbers of not greater than (10,000)10. The circuit will produce a minimum of two outputs, the quotient and the remainder.
Assuming that the secondary is open-circuited and that the primary is connected to a 13.8-kV source, calculate the magnitude and phase angle (with respect to the high-voltage source) of the voltage at the secondary terminals.
For each of the sinusoidal source functions, determine the complex exponential source that has the given source as its imaginary part. Determine the phasor representation of each of the sinusoidal source functions.
Write an optimal sequence of control microinstruction
The built-in voltage of a GaAs pn junction diode is 1.25 V when the diode's temperature is T = 320 K. The cathode region of the diode is doped with phosphorus at a concentration of 1017 cm-3. Determine the required doping concentration in the anod..
A box contains a shipment of N (N>4) computer chips, of which four are defective. Four chips are randomly selected and examined as to wether or not the chips are defective. Describe the sample space for this experiment.
The duration of a cellular call is an exponential random variable with expected value of 3 minutes. A subscriber makes 120 calls each month. Use the central limit theorem to estimate the probability that the subscriber uses at least 400 minutes.
A coil is placed in series with a resistance of 30 ohms. When the combination is connected to a 220 V, 60 Hz source, the current is 4.2 A and the power drawn by the circuit is 670 W.
a) Based on your decision create a sampled signal of the sum of the two sines, and plot the magnitude of the zero centered FFT with property frequency annotation. Did it work Check with the data tip tool.
MOS (p and n) npn and pnp transistors with parameters given in the text or select your own by using industrial data sheets, available on the internet. Also resistors, capacitors, and power supplies (10 V, 5 V, and 3.3 V) are available.
An alarm is powered by 120 VAC, and the on/off state of the alarm is controlled by an EM relay. Design the interface between a computer output port and the EM relay. The dropout voltage is 3.5 V, and the coil current needs at least 100 mA.
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