Alright... i am new to this forum...this may seems quite easy for you guys... but i've been very confused lately
What is the maximum probability value that a cumulative density function (cdf) can have?
Now i know that a probability can have a event of 0 to 1... asking for maximum probability i assume it will be 1? But then thinking again.. when it relates to CDF (which i don't fully understand) it can be limited to (.5) or even to infinite?
So please guys.. any suggestions?
let me give an example
to be simple let consider a discret example
F(x) is P(X<=x)
like a F(5) is a sum i=0 to 5 of P(X=i) considering the X assumes values 0 to i infinte let's say
so like u said the probability assumes values between 0 to 1 so the max of a F is the sum of all probabilites in all points and that's 1 by definition
so i was right that the max value is 1? i keep getting confuse with the CFD's parameters as it says x to infinite...
which leads me to my next questions... that any random variable with a normal distribution can be converted to a random variable with a standard normal distribution? or am i wrong?
and thanks for the prompt replies... you guys are great... helping an unknown fellow.. really appreciate it.