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Geometric Distribution

 
 
emma-xx
 
Reply Tue 10 May, 2011 11:32 am
I'm doing Statistics 1 for my A level and I'm trying to figure out formula for the Geometric distributions.
I know that P(X>x) = q^x
but I don't know how to find P(X<x)
any help is much appreciated as my exam is in 2 weeks!
thanks
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laughoutlood
 
  1  
Reply Tue 10 May, 2011 07:16 pm
@emma-xx,
http://en.wikipedia.org/wiki/Geometric_distribution

If P ( X>x ) = q^x then

P ( X less than or equal to x ) = 1 - q^x
emma-xx
 
  1  
Reply Thu 12 May, 2011 09:18 am
@laughoutlood,
aw thanks anyway, but I already had that one, it honestly was just P(X less than x) I don't even know if its possible to find it Sad
Oylok
 
  2  
Reply Thu 12 May, 2011 10:03 pm
@emma-xx,
It's possible.

Just start with the probability that X is less than or equal to x, and then subtract the probability that X equals x. You get the probability that X is less than x.

P(X < x) = P(X is less than or equal to x) - P(X = x).

Whenever you have two mutually exclusive events, A and B, then P(A) = P(A or B) - P(B).
emma-xx
 
  1  
Reply Sat 14 May, 2011 02:17 pm
@Oylok,
wow, thank you so much! it seems like such an obvious way of doing it now I think about it. thanks again! Smile
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