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Consider a DMS with a two-symbol alphabet source with n = 100 000.
f) Find the mean and variance of Na. Approximate by the central limit theorem approximation. The central limit theorem approximation is to evaluate assuming that Na is Gaussian with the mean and variance of the actual Na.One point of this exercise is to illustrate that the Chebyshev inequality used in bounding PrT in the text is very weak (although it is a strict bound, whereas the Gaussian approximation here is relatively accurate but not a bound). Another point is to show that n must be very large for the typical set to look typical.
Determine the vertical stress of 4m below the centre of shallow foundation 3 x 3m carrying a uniform pressure of 275 kN/m3. Plot the variation of vertical stress with depth (up to 10m) below the centre of the foundation
One second later another ball is thrown vertically from the ground with a velocity of 10m/s. Determine the height from the ground where the two balls pass eachother.
If the tensil testing machine can apply no more than 925 lbs. of force to the specimen, calculate the maximum rod diameter that should be used. (precision 0.000)?
The ship has a total weight of 155,000 tons, length = 1,600 feet and a beam = 150 feet (assume that it is the shape of a rectangular box). Calculate the height above the waterline of its center of Gravity (G).
A pump conveys water from an open pond through a short length of pipe to a nozzle that shoots water into the air in the middle of a fountain. The pump adds 5 H.P. to the flow. What vertical force (direction and magnitude) does the water exert onto..
A 2 L jar, equipped with a tight-fitting lid that contains a rubber septum, is half filled with water. At equilibrium, the air space has a volume of 1 L, a total pressure of 1 atm, and a temperature of 298 K.
Compare these two works or Art: Bodhisattva Padmapani - vs - Basawan and Chatar Muni, Akbar and the Elephant Hawai.
calculate the depth of water in a stormwater pond resulting from a two hour rainfall event. the rainfall occurs over a 24-acre watershed at an average rate of 1 inch/hour. the runoff coefficient is 0.5.
Determine the minimum volume of concrete needed to keep the gate(1m wide) in a closed position, with l=2m. Note the hinge at the bottom of the gate
The two pulleys are riveted together to form a single rigid unit, and each of the two cables is securely wrapped around its respective pulley. If point A on the hoisting cable has a velocity v=0.9 m/s,
calculate the critical depth of a circular concrete pipe with a diameter of 42 inches, a Manning's Number of .014, a slope of .025% and a flow rate of 10 CFS (cubic feet per second). The radius is 3.55 and normal depth is 25 inches
Under the 200% DB depreciation, what is the cumulative depreciation through the end of year four? The useful life of the mixing tank is 9.5 years.
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