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An automobile manufacturer is concerned about a fault in thebraking mechanism of a particular model. The fault can, onrare occasions, cause a catastrophe at high speed. The distrubution of the number of cars per year that will experience the fault is a Poisson random variable with λ=5.
(a) What is the probability that at most 3 cars per year will experience a catastrophe?
(b) What is the probability that more than 1 car per year will experience a catastrophe?
A full wave rectified current has a peak value of 20 A and a period of 2ms. Assume the current is flowing in a 50 ohm resistance. Tabulate frequency, peak values and average powers of the first four nonzero compoents in the spectrum.
Determine the input x[n] so that the corresponding output of the above system is y[n] = delta[n] - delta[n - 1] Determine the output y[n] when the input is x[n] = cos(0.5pin) for - infinity
In a bank, among the accounts opened before 2005, 40% are saving accounts, 20% are chequing accounts and rest are mutual fund accounts. These numbers for accounts opened on or after 2005 are: 30% saving accounts,
The axis of the cylinder is along the z axis, and the electrons are moving with a velocity vector v in the positive z direction. The velocity of the electrons is 0.1c where c is the speed of light (2.99792458 ´ 108 [m/s]). The magnitude of the cur..
(a) Calculate the transformation matrix used to rotate an image by 45o clockwise about the Zaxis. (b) How would you use this transformation matrix to achieve the desired rotation (c) Use the transformation matrix to rotate the image point (x,y) = (0,..
The receiver takes the three received bits and decides which bit was sent by taking the majority vote of the three bits. Find the probability that the receiver makes a decoding error.
A p-n junction is made by doping Silicon with donors and acceptors. The doping at the p side has a uniform density of NA, but the doping density at the n side is not uniform and changes linearly with the distance from the metallurigical junction.
Design a 1024x16 RAM using the 256x8 RAM blocks and neccessary combinational circuit. Note that, 256x8 RAM block has 8 bit data (DATA), 8 bit address (ADRS), chip select (CS), read/write (R/W) inputs and a three-state output bus.
A bar of p-type silicon, has a cross-sectional area A = 10-6 cm2 and a length L = 1.2 x 10-3 cm. For an applied voltage of 5V, a current of 2mA is required. What is the required (a) resistance, (b) resistivity, and (c) impurity doping concentratio..
the Mars Rover Spirit got stuck in the Martian sand. The wheels kept slipping. Attempts to free it were futile. Discuss the type of actuator in this case. Can you suggest any improvements in the actuator that would have prevented this unfortunate ..
In a long cilindric wire with a radius of 2 cm, a corrent with 80A goes thorugh it. What is the magnetic energy per unit of wire lenght?
A circular coil of 200 turns of radius a=60mm, total resistance R=2 ohm, and no self inductance is rotated about a vertical diameter with uniform angular velocity =200 rad/s in a horizontal magnetic flux B of 0.25 Tesla.
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