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November 14th, 2015, 12:19 AM  #1 
Member Joined: Jan 2012 Posts: 57 Thanks: 0  Help in understanding the CDF
The CDF of a continuous random variable X is defined as: but in situation like this I usually encounter with such CDF function which I do not understand how one came up with What is wrong with the following equiton? $\displaystyle F_{T}(t)=P(T\leqslant t )=\int_{0}^{t}f_{T}(t')dt'=1P(T\geq t ) $ Last edited by mhhojati; November 14th, 2015 at 12:22 AM. 
November 14th, 2015, 05:29 AM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,198 Thanks: 872  Quote:
The correct statement is that $\displaystyle P(T\le t)= \int_0^t f_T(t')dt'$. That is, "$\displaystyle \le$", not "$\displaystyle \ge$". Quote:
 
November 14th, 2015, 05:48 AM  #3 
Member Joined: Jan 2012 Posts: 57 Thanks: 0  

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