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In the dice game called craps^ the player tosses two (fair) dice simultaneously. If the sum of the two numbers that show up is equal to 7 or 11, the player wins. If the sum is equal to 2, 3, or 12, he loses. When the sum is a number x different from the preceding numbers, the player must toss the two dice again until he gets a sum equal to x or 7. If x is obtained first, the player wins; otherwise, he loses. What is the probability that the player wins?
A rod of ultrahigh purity copper is 1 cm in diameter and 10 cm long at room temperature. Its mass is found to be 70.18 g. Determine the inter-atomic distance between two nearest- neighbor copper atoms.
What is the equivalent noise temperature of the source over the operating bandwidth?
In this problem you will design a Moore finite state machine that realizes a synchronous 3-bit counter with a mode control input M and three outputs QA, QB, and Qc. When M = 0, the counter output advances through the 3-bit numbers using a step si..
State and prove the correspornding rule for four-vectors and four-tensors
A TV signal (Audio and Video) has bandwidth of 4.5 MHz. The signal is sampled,quantized and binary-coded to obtain PCM signal. (a) Determine the sampling rate if the signal is to be sampled at a rate 20% above the Nyquist rate.
Discuss what is meant by line spectra and what information can be gathered from a line spectrum plot. Discuss the similarities and differences between the Fourier Transform and the Laplace Transform.
Two resistors are given: R1 = 470 ohms and R2 = 1.20 k ohms. (a) The two resistors are connected in series with a 48 V source. Calculate the series equivalent resistance. Sketch the schematic diagram of the circuit with the two resistors.
A 160-ft-diameter parabolic antenna is driven by a 10-W transmitter at 4.3 GHz. Calculate its effective radiated power (ERP) and its beamwidth.
A 460-V, four-pole, 75-hp, 60-Hz, Y connected, three phase induction motor develops its full load induced torque at 1.2 percent slip when operating at 60 Hz and 460 V. The per phase circuit model impedances of the motor are
a. Calculate the series reactance in ohms as referred to (i) the low-voltage terminal and (ii) the high-voltage terminal.
Find all values of alpha such that the system is stable for K = 2. If the unity feedback closes around this G(s) and an input is a unit step r(t) = 1u(t), what is the stead-state error, e_ss, as a function of alpha and K?
4. consider a three slab geometry where each slab carries a uniform charge density and has equal width w in the z
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