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Two events, A and B, have marginal probabilities P (A) = 0:2 and P (B) = 0:5, respectively. Their joint probability is P (A∩B) = 0:4.
a. Are they statistically independent? Why or why not?
b. What is the probability of A or B or both occurring?
c. In general, what must be true for two events be both statistically independent and mutually exclusive?
Convert the following differential equation 5 (t) +4 (t) +3x.(t) + 2x(t) + 7u(t) - 5u.(t) + 2 (t) = 0 to state space form. Is this system marginally stable, asymptotically stable, or unstable when u(t) = 0 Determine stability by using the state sp..
A sinusoidal current is zero and increasing at t = -3.33ms; the next zero crossing occurs at t = 6.67ms. a) calculate T, F, and W. b) if i(0) = 25.98 A, Find i(t). c) By what angle does i(t) lead another current i(t) = 5 sin (wt - 5°) A.
The transistor is biased at 1mA and has ß=100, Cp=10pF, and Cµ=1pF. The transistor load is a resistance of 5kO. Find fo, Q, the 3-dB bandwidth, and the center-frequency gain of this single-tuned amplifier.
An auto transformer is used to reduce the starting current and to give full load torque at starting .Neglecting no load current , determine : (a) Voltage applied at starting , (b) Full load line current (c) Current drawn by the motor at starting..
During the k^th sampling interval of a CVSD modulation scheme, the current value of input x(k) is 1000, the previous value of approximating staircase function x f(k-1) is 990, and the current value of ä(k-1) is 30
Nitrogen at an absolute pressure of 689.5 kPa is used to fill a container having a volume of 0.002 m3. The filling process is very slow, and the gas in the container attains the ambient (room) temperature of 20°C. Determine the amount of gas in th..
Electrostatic scaling: prove that electrostatic force between the two plates of a charged capacitor is a surface force (~L2); How about the stored energy under constant voltage on the capacitor (~L1, ~L2, or ~L3)
Unpolarized light is incident on three polarizers: The first making an angle of 0 degrees with the vertical; the second making an angle of ? degrees with the vertical; and the last one making an angle of 90 degrees with the vertical.
Calculate the 10 hp 4 pole Induction motor winding Guage and turns per coil
1- Find the voltage across the inductor for t > 0 2- Sketch the voltage and the current as a function of time 3- Find the power ( in microwatts) at the terminals of the inductor when t = 200 ms
Problem: Calculate the transfer function for the circuit shown below. In the circuit, R1 = R2 = k ? and C1 = C2 = 0.1 μF. Express your result as ratio of two polynomials.
A transmission line with impedance 0.1+ J0.2Ω isused to deliver power to an industrial load. The load voltage ismaintained at VL = 240
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