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What are the properties of the geometric random variable? How do we know when some given random variable X is geometric or not geometric? What

What are the properties of the geometric random variable? How do we know when some given random variable X is geometric or not geometric? What are the characteristics of the PMF and CDF of a geometric R.V.? How can we determine whether the R.V. is geometric given some graph of the CDF? Is it possible at all

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