5:58 PM
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Q: Prove that any real random variable takes only countable number of values with positive probability
Equivalently, is it possible for uncountable number of positives to sum to $1$? I was thinking about bounding some how the numbers to prove that it is not possible (I have a feeling that it is not possible, I haven't encountered a random variable that takes uncountably many values with positive p...
A tag called countability was created and removed before: chat.stackexchange.com/transcript/3740/2020/10/2
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