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A commuter attempts to catch the 8:00 am train every morningalthough his arrival time at the station is a random variable thatis uniformly distributed between 7:55 am and 8:05 am. The train's departure time from the station is also a random variable that is uniformly distributed between 8:00 am and 8:10 am.
a. Find the probability density function of the time intervalbetween the commuter's arrival at station and the train's departuretime.
b. Find the probability that the commuter will catch the train.
Write a function that takes inputs of yards and feet (whole numbers) and calculates and returns an output of the total number of miles (a floating-point value). There are 5280 feet per mile. There are 3 feet in a yard.
Determine the maximum shearing stress and elongation in a helical steel spring composed of 20 turns of 20-mm-diameter wire on a mean radius of 90 mm when the spring is supporting a load of 1.5 kN. G = 83 GPa.
Design a state variable two-pole band-pass filter with a geometric center frequency of 2KHz and a 3dB bandwidth of 20 Hz and the tuning resistances need to be 10Kohms each.
What is the smallest frequency that can be used to sample each of the following continuous-time signals such that the signal can be recovered from the discrete samples (a) \(x(t)=1+cos(2000\pi t)+cos(4000\pi t)\)
Using the exponential formula for a charging circuit and assuming an initial voltage of zero volts across the capacitor, calculate the voltage across the capacitor at a. t = 1.5 seconds b. t = 2.5 seconds
By use of the Nyquist criterion, determine whether the closed-loop systems having the following open-loops transfer functions are stable or not. If not, how many closed-loop poles lie in the right half s-plane.
Algebraically prove the following equation. Identify by name the boolean algebra identity used in each step. Hint: Use consensus 4 times. WY+YZ'+WXZ+W'XY'=WY+YZ'+W'XZ'+XY'Z
A series motor runs at 600 rpm when taking 110 amps from a 230 V supply. The resistance of the armature circuit is 0.12 ohms and that of the series winding is 0.03 ohms. Calculate the speed when the current has fallen to 50 amps
What is the system reliability for a light panel containing 12 light bulbs, and only requires 9 bulbs to be working for success (only 3 failures allowed). The reliability performance of the bulbs is based on the exponential reliability distributio..
In a 2-pole, three phase PMAC synchronous motor, the torque constant kT and the voltage constant kE are 0.6 in respective MKS units. The synchronous inductance, LS is 10 mH. The stator winding resistance per phase is 1 Ω.
If the thickness of gate oxide for a MOS transistor is about 100A, about how many SiO2 molecules, on average, are stacked on top of each other to form the gate oxide
Which of the following is not an advantage of SPI transmission over SCI transmission Error checking via parity bit Faster transmission Master-slave capability Synchronous transmission A HCS12 embedded timer is in PWM mode.
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