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If x and y are two independent random variables then their joint density function is given by
The density function fz of the sum of these two variables is given by the convolution
The proof of this relation may be found in any good introductory text on probability. According to the preceding exercise, if x and y are each U[0,1] then their joint density is triangular, i.e., t = rlr, using symbol t for triangle. What has the central limit theorem got to do with this process of repeated convolution?
simple problems on partial derivatives
The price indices for the monthly basis salary of a clerk in years 1992 and 1994 based on year 1990 are 128 and 135. The monthly salary of the clerk in the year 1994 is RM810.
''A three phase cage induction motor running at full load draws a stator current of 60A at a power factor of 0.8 lagging from a 415v, 50hz supply. Under the following conditions th
A research analyst for an oil company wants to develop a model to predict miles per gallon based on highway speed. An experiment is designed in which a test car is driven at speeds
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sample problem of maxima application
Produce a discrete time series y(t i ) by super positioning 5 cosinusoidal components, for your own choice of the amplitudes (a j ) and frequencies (f j ). Add some Gaus
You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid level rises and falls a
Find the equilibrium points (real and imaginary parts, to 3 decimal places) if unit positive line charges are placed at a+ic, b+id, and -3-2i. Designate one of these numbers as "m
a. Explain the Integrated Circuits? What are the benefits of ICs as compared to standard printed circuits? b. Explain in brief, the various steps included in fabrication of ICs.
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