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During a walk at the park we spot blue birds and red birds. Suppose each red bird with probability 3/4 and blue birds with probability 1/4. (a) In a collection of 5 randomly selected birds, what is the probability that none are blue? (b) In a collection of 7 randomly selected birds, what is the probability that at least 4 are red? (c) In an ordered sequence of 6 randomly selected birds, what is the probability that we saw exactly 3 blue birds, and the 3rd one occurred in the 6th position?
(a) If five different types of chips are to be placed on the board, how many different layouts are possible (b) If the five chips that are placed on the board are of the same type, how many different layouts are possible
The factorial of a nonnegative integer n is written n! (pronounced "n factorial") and is defined as follows: n!= n(n-1)(n-2)(n-3)....1 (for values of n greater than or equal to 1) and n!= 1 (for n=0) for example 5! = 5x4x3x2x1,
You are designing a PCS base station that operates at 1800 MHz. The receiver is co-located on a tower with UHF police and business radio systems that operate at 450 MHz. Since the the 4th harmonic from the UHF system is directly in the PCS band
a carrier wave is frequency-modulated using a sinusoidal signal of frequency fm and amplitude Am. (a) determine the values of the modulation index beta for which the carrier component of the fm signal is reduced to zero. see the appendix for calcu..
A circular line charge of uniform line charge density q(C/m) is located in z=0 plane with its center at the origin. Determine, a. The electrostatic potential V at a point along the z-axis (0, 0, z) b. The electrostatic field E a point along the z-axi..
a. The mass of an electric car is 900 kg including the passengers. A single motor mounted on the front wheels drives the car, and the radius of the wheel is 0.3 m. The car is going downhill at a speed of 50 km/hr, and the slope of the hill is 30 d..
During an AP, the membrane potential typically moves from -70mV to +20mV and back again. In a cell with 10um radius and 1uF/cm^2, how many charges need to move across the membrane (and back again) to get this 90 mV voltage fluctuation?
When a HIGH is on the output of the decoding circuit below, what is the binary code appearing on the inputs?
Implement a high-speed multiplier which will multiply two 2-bit binary numbers (B1B0 and C1C0) using a 16X4 PROM (lookup table implementation). List the content of all the memory locations in the PROM and describe the operation.
Derive the dynamic model and average value circuit of a buck converter assuming the ESRs of the inductor and capacitor are not equal to zero.
Determine the fundamental frequency w0, the period t0, and the coefficients in the representation X(t) = x0 + Re{k=1N Xkejkwot} for the above input. Remember, you can do this problem without evaluating any integrals.
steam flows through a turbine one inlet and two exits with know condition at the steady state ( hints: h1=3231KJ/kg, h2=2812 KJ/kg , specific volume (v)= 0.0994 m^3/kg , at p= 30 bars,v=0.4045m^3/kg, at p=5 bars, no potential and kinetic energy ch..
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