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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?
Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise wit
for what values of (a,b) does the point P (0,a,b) lie on the line through Q (1,-1,4) and R (2,3,5)?
outline the three schema database architecture clearly explaining each level and how the user view the information
a.) Give a short sequence of machine instructions for the task " Add the contents of memory location A to those of memory location B, and place the answer in location C ". You have
application of mathematics in engineering
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
There are many situations which call for the replacement of an integral by a sum, or vice versa. In the former case the highest accuracy is sometimes required. This means that in t
As with the first order system, there is a general differential equation that governs the response of a second order system. The equation is of the form: Where: So
if the sides of a triangle ABC vary in such a way that it''s circum-radius remains constant. prove that, da/cos A+db/cos B+dc/cos C =0
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.
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