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Shuffle a deck of cards and pick two cards at random. Observe the sequence of the two cards in the order in which they were chosen.
(a) How many outcomes are in the sample space?
(b) How many outcomes are in the event that the two cards are the same type but different suits?
(c) What is the probability that the two cards are the same type but different suits?
(d) Suppose the experiment specifies observing the set of two cards without considering the order in which they are selected, and redo parts (a) - (c).
At a point f in the system, there is an open-circuit fault on phase-a with a voltage across the open-circuit as Vfa , whereas Vfb =Vfc =0. Similar to the calculations of the short-circuit currents by making use of the sequence networks
A mote draws an average of 200mA when "awake", 0.1mA when "sleeping", and 400mA (total) when "transmitting". Transmitting data takes 2ms, and sensor acquisition takes 1ms. If the maximum size battery available is 5000mAh
A system samples a sinusoid of frequency 850 Hz at a rate of 250 Hz and writes the sampled signal to its output without further modification. Determine the frequency that the sampling system will generate in its output.
Determine the transfer function for a first order low pass filter with a cutoff frequency of 1000 radians/sec (note radians and not Hertz) and a pass band gain of 1 using the following types. (a) Butterworth type
Power Systems Theory Definitions and Formulas, Define, (a) The fault level of a system or unit in a system, (b) base MVA
An a.c. voltage, V, comprises of a fundamental voltage of 100 V rms at a frequency of 120 Hz, a 3rd harmonic which is 20% of the fundamental, a 5th harmonic which is 10% of the fundamental and at a phase angle of 1.2
Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of f = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall 420 feet away
How are the left (L) and right (R) signals obtained separately in the radio receiver to drive the dual channel audio amplifier and speakers?
Box 1 contains 1000 Integrated Circuits of which 10% are counterfeit. Box 2 contains 2000 Integrated Circuits of which 5% are counterfeit. Externally, all IC's look identical. Two integrated circuits are picked from a (single) randomly selected bo..
Explanation to "Electric circuits" question, The voltage across a load is v(t) = 260 sin (377t + 10 °) and the current through the load is i = 100 sin (377t + 10°). What is the RMS power?
The gauge pressure on an air tank is measured to be 250 kPa at the surface of the water. Take the atmospheric pressure to be 100 kPa. The density of water is 997 kg/m3. a) What is the absolute pressure in the tank at the surface
a plane wave is obliquely incident onto the planar interface between mismatched, lossless, nonmagnetic, uniform media, yet undergoes no reflection. If incidence is at 54 degrees to the normal, at what angle to the normal does the transmitted wave ..
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