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Question: consider an experiment whose sample space consists of all positive...

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Consider an experiment whose sample space consists of all positive integer (a.k.a. natural) numbers Z+ 1,2,3,...I (i.e. choose a random natural number) (a) Can you define a probability on Z+? (b) Can you define a probability on Z+ in such a way that any two numbers are equally likely to occur? (c) Along the lines of (b), can you define a probability on the interval [0, 1] in such a way that any two numbers in this interval are equally likely to occur?

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