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A coin is tossed until two"heads" have been obtained or four tosses have been made, whichever comes first. List the elements of the sample space of this experiment.
A box contains balls that are identical except for color. Initially the box contains one red and two green balls. A ball is drawn at random from the box and then put back in the box. If the chosen ball was red, three red balls, one green ball, and two blue balls are added to the box. If the chosen ball was green, three green balls and one blue ball are added to the box. After the extra balls are added, a ball is drawn at random from the box. Determine the probability that this ball is red.
A box contains balls that are identical except for color. Initially the box contains three blue and two green balls. A ball is drawn at random from the box and its color is observed. This first ball is then put back in the box, and then four balls of the other color are added to the box. After the extra balls are added, a ball is drawn at random from the box. Given that this ball is blue, determine the probability that the first ball drawn from the box was green.
A certain measured voltage is a Gaussian random variable with mean = 50 V and standard deviation = 5 V. Determine the probability that themeasured voltage will be between 42 V and 52 V.
Determine the distribution of the number of customers waiting in the queue.
draw out a schematic that implements a 3-bit XOR gate, but consisting of only 2-bit NAND gates. Your schematic should have from 8-10 NAND gates, but NO other logic function such as OR, AND, INV gates can be in your final design.
a) At what time does the peak value of the AC signal occure b) What is the frequency,f,of the AC signal c) What is the period,T,of the AC signal d) At what time does the negitve peak value of the AC signal occur
encounter a sequence of birds while walking in the park. The birds can either be blue (B) or red (R). We let X be the random variable corresponding to the number of birds we encounter until seeing the first blue one.
Determine the relative permittivity of the dielectric, the maximum and minimum electric field intensities in medium 1 and the electric field intensity in medium 2.
A sampled-data system such as that presented in problem (i) has a sampling period T = 0.05s and has G(z) = K (z3 + 10.3614z2 + 9.758z + 0.8353) / (z4 - 3.7123z3 + 5.1644z2 - 3.195z + 0.7408) 1. Determine K when the two real poles break away from the ..
The required exposure energy for a positive photoresist is 140 mJ/cm2 and for a negative photoresist is 9 mJ/cm2. Assuming negligible times for loading and unloading wafers, compare the wafer throughput for positive photoresist and negative photor..
A certain mixer is producing the following frequencies: 900 kHz, 700 kHz, 500 kHz, and 200 kHz. What are the two most likely input frequencies?
A 10kVA, 200/400V 50Hz single-phase transformer gave the following test results. O/C test: 200V, 1.3A, 120W, on l.v. side. S/C test: 22V, 30A, 200W on h.v. side. (a) Calculate the magnetizing current and the component corresponding to core loss at ..
Design a DC current source to meet the following specifications: - Current source value: 100 u-amps +/- 1% (over all possible load and supply voltage conditions). - Output resistance: >20 Mohms. - Available DC voltage sources are bipolar and range fr..
We use the time constant to characterize transients in electric circuits. In physics, the half-life is often used to characterize the exponential decay of physical quantities such as radioactive substances.
Efficiency in a power transformer is 98.6 percent when loaded such that its core losses equal the copper losses. Calculate the per unit resistance of this transformer.
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