Re: dse 2012 doubts

Posted by Sinistral on May 26, 2013; 12:20pm
URL: http://discussion-forum.276.s1.nabble.com/dse-2012-doubts-tp7581291p7581308.html

The way u put up the ques is vague. What i understood is :
O1,O2,O3.... ∞, are outcomes of an experiment with Probability of each outcome being
P(Oi)= (1/2)^i
Is this so??

If yes, then its obvious that it is a probability measure because:
P(Oi)  ∈ (0,1) ∀ i
and ΣP(Oi) ∀ i = 1/2 + (1/2)^2  (1/2)^3 .... ∞ =1 (sum of infinite GP)
hence P(Oi) is a probability measure.