My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum

Thanks Tree3Thanks
LinkBack Thread Tools Display Modes
March 2nd, 2018, 10:16 AM   #11
Senior Member
Joined: Nov 2011

Posts: 243
Thanks: 2

I think that the question will be solve by computer. Right?!
shaharhada is offline  
March 2nd, 2018, 11:06 AM   #12
Senior Member
romsek's Avatar
Joined: Sep 2015
From: USA

Posts: 2,202
Thanks: 1156

Originally Posted by AngleWyrm2 View Post
Given a set of points on a cartesian coordinate system of x,y, the distance from origin to any point is sqrt(x^2 + y^2).

What radius of distance from origin will include 50% of randomly distributed new points, where x and y range from 0..k?
This is barely a problem in probability.

It would be a better problem if $x,y \in \mathbb{R}$ as this would allow an exact answer.

Since you imply a uniform distribution of points we simply have to find the radius such that the areas of the two regions are equal.


$k^2 - \pi r^2 = \pi r^2$

$k^2 = 2 \pi r^2$

$r = \sqrt{\dfrac{k^2}{2\pi}} = \dfrac{k}{\sqrt{2\pi}}$
romsek is online now  

  My Math Forum > High School Math Forum > Probability and Statistics

probability, root

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
integrate root(1-x^2)/root(1+x^2) x dx mared Calculus 3 May 18th, 2014 05:39 PM
root mared Algebra 1 January 30th, 2014 09:28 AM
Root within a root. Akimb Elementary Math 3 September 14th, 2012 08:49 AM
Infinite Root in Root adhiluhur Algebra 1 June 13th, 2010 05:30 AM
'i'th root of i johnjg75 Complex Analysis 2 February 6th, 2010 01:39 PM

Copyright © 2018 My Math Forum. All rights reserved.