Integral probability , Algebra

Assignment Help:

The integral

572_integral.png

arises in probability theory.

(a) Consult the library or Internet to find how this integral relates to the calculationof a probability using the Normal distribution. Provide a summary of what you find and identify what probability the integral calculates (around 1-2 pages).

(b) Give a reasonable argument to show that

344_doouble integral.png

 (c) The above double integral can not be evaluated using standard integration techniques.

Instead we must first transform the integral to polar coordinates.

i. Consult the library or Internet to find out the way in which transforming to polar coordinates works for double integrals formulated in Cartesian coordinates.

ii. Evaluate I2 by transforming the double integral in Equation (1) to polar coordinates.

(d) Use your result from Part (c)(ii) to show that I =√π/2


Related Discussions:- Integral probability

Square of trinomial., 1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question...

1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question: what is the effect of switching the plus sign to minus sign on the product

Fractions, how do you solve a different fractions

how do you solve a different fractions

Muti step equation word problem, The sum of 4 consecutive integers is 130. ...

The sum of 4 consecutive integers is 130. what are the four integers?

Find out all the zeroes - rational zeroes, Example   Find out all the zero...

Example   Find out all the zeroes of P ( x ) = x 4 - 7 x 3 + 17 x 2 -17 x + 6 . Solution We found the list of all possible rational zeroes in the earlier example.  Follo

Financial Polynomials, need step by step instructions on solving P = $500 a...

need step by step instructions on solving P = $500 and r = 11% = .11

Sketch the graph of hyperbolas, Example : Sketch the graph of hyperbolas. ...

Example : Sketch the graph of hyperbolas.                                  ( x - 3) 2 /25 - ( y + 1) 2 /49 =1 Solution Now, notice that the y term contain the minus sig

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd