Integral probability , Algebra

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

Posted Date: 2/25/2013 7:52:25 AM | Location : United States







Related Discussions:- Integral probability , Assignment Help, Ask Question on Integral probability , Get Answer, Expert's Help, Integral probability Discussions

Write discussion on Integral probability
Your posts are moderated
Related Questions

Ask questionteachme how to graph points convert fractions to deciams #Minimum 100 words accepted#



if a=3 b= 1/2 c=5 f(x)= ab over c g(x) (a=b)c f (g(x))

The weight of an object on Planet A and the weight of the same object on the Planet B are proportional. An astronaut who weighs 160 pounds on Planet A weighs 26.7 pounds on Planet

so I''m having trouble. I honestly don''t under stand this. Y=4x+5. y=-1/4x+4 they want me to tell whether the line is parallel, perpendicular or neither I don''t know how.

Methods of elimination Example 1 Solve out the given system of equations. x - 2 y + 3z = 7 2 x + y + z = 4 -3x + 2 y - 2 z = -10 Solution We will try and find

i Need Help on Solve for X

ac + xc + aw^2 +xw^2 i need to factor the problem above