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This illustrates why the tap gain corresponding to the sum of a large number of potential independent paths is not necessarily well approximated by a Gaussian distribution. Assume there are N possible paths and each appears independently with probability 2/N. To make the situation as simple as possible, suppose that if path n appears, its contribution to a given random tap gain, say G00, is equiprobably ±1, with independence between paths. That is,
(b) Give a common sense explanation of why the limiting rv is not Gaussian. Explain why the central limit theorem does not apply here.
(c) Give a qualitative explanation of what the limiting distribution of G00 looks like. If this sort of thing amuses you, it is not hard to find the exact distribution.
A trapezoidal channel with a bottom width of 4 feet and side slopes 2:1 (H:V) and a bed slope of 1 percent conveys a discharge of 50,000 gpm. Assume n = 0.025. Compute the normal depth.
A strata of clean, light-colored quartz sand located below the groundwater table has a moisture content of 25.6%. The minimum and maximum void ratios of this soil are 0.380 and 1.109, respectively
Estimate the number of filters required and calculate the area of each filter (ft2), assuming that a length-to-width ratio (L:W) of 4:1 is employed in constructing the rapid sand filters and suing a filtration rate of 6 gpm/ft2.
If vehicle arrivals at the lot follow a poisson process, with arrival rate lambda = 0.2 vehicles/hour, what is the probability the lot is full at 9:15 AM. Assume that no one leaves during this period.
The two shafts in a speed-reducer unit are subjected to couples of magnitude M1 = 18 N · m and M2 = 7.5 N · m, respectively. Replace the two couples with a single equivalent couple, specifying its magnitude and the direction of its axis.
A dry detention basin is to be designed for a 70 ha residential development. The runoff coefficient for the area is 0.3 and the average rainfall during the year is 4 cm. What is the necessary volume for the basin
What is the pH of the solution created by combining 0.90 mL of the 0.10 M NaOH(aq) with 8.00 mL of the 0.10 M HCl(aq)? with 8.00 mL of the 0.10 M HC2H3O2(aq)?
Deteemine the velocity of the 30 kg block A if the two blocks are released from rest and the 20 kg block B Moves 0.6 mup the incline .The coefficient of kinetic friction between both blocks and the inclined planes is 0.10
The phase diagram of a typical simple substance contains three phases , liquid vapor and solid separated by boundaries . The critical point terminates the liquid-vapor transition, in water it is at Pc=220.9 bar and Tc=374 degres celcius
A random variable X has density function f(x) = CX^2 1
The concentration of CO2 is 400ppm what is the equivalent concentration in ug/m^3 at temperature of 22C & pressure of 103.198 kPa.
We would continue embankment work even if winter season and my question is what is swelling amount of compacted soil for 30cm thickness and 95% compaction degree by freezing.
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