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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?
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elongation of conical bar under its own weight is what fraction of rectangular bar
Solve the initial value problem 11(t+1)dydt-7y=28t, for t>-1 with y(0)=14. Put the problem in standard form. Then find the integrating factor, ?(t)= , and finally find y(t)=
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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.
1. (i) How many digits does the number 101000 have when written to base 7 ? (ii) Use the prime number theorem to estimate the proportion of prime numbers among the positive inte
WHY IS SINp = 0
An open-loop control system has the following state-space model: (a) Find characteristic equation of the open-loop control system model. (b) What is the characteristic e
A high school counselor needs to specify whether the teenage pregnancy rate at her school is disimilar from the rate nationwide. She knows that the rate nationwide is 15 %. She ran
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