
Advanced Statistics Advanced Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 4th, 2017, 09:35 AM  #1 
Newbie Joined: Apr 2017 From: PA Posts: 20 Thanks: 0  Finding a cdf
Let U, V be random numbers chosen independently from the interval [0, 1] with uniform distribution. Find the cumulative distribution and density of each of the variables.req ual (b) Y = U − V . Attempt: I used P (Y < or equal to y), I took the positive side of the absolute value and got P (UV < or equal to y). Later I thought about isolating u to get P (U < or equal to y+V). Thus, J figured the cdf would be F (y)=y+V after using a theorem. However, it was wrong. How should I find the correct cdf? 
May 4th, 2017, 11:04 AM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 1,237 Thanks: 637 
you're letting theorems and formulas get in the way of you understanding what's going on. see if you can sketch the area in [0,1]x[0,1] where UV<c, c some constant in [0,1] no formulas... just common sense and an understanding of the absolute value function. 

Tags 
cdf, finding 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Finding a cdf  poopeyey2  Advanced Statistics  0  April 27th, 2017 10:33 AM 
Finding a PDF from a CDF  KaiL  Probability and Statistics  1  March 20th, 2016 11:46 AM 
Finding Min/Max  suhdude  Calculus  2  February 25th, 2016 10:19 AM 
Finding b and c!  chocolate  Algebra  4  July 2nd, 2012 12:51 PM 
finding 'x'  mielke  Algebra  8  June 2nd, 2011 06:21 PM 