What is the characterization of the geometric distribution

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Reference no: EM131810314

Question: The memoryless property. Suppose F has geometric distribution on {0, 1, 2, .. }.

a) Show that for every k > 0, P(F-k = m | F > k) = (F = m), m = 0, 1, . .

b) Show the geometric distribution is the only discrete distribution on {0, 1, 2, . .} with this property.

c) What is the corresponding characterization of the geometric (p) distribution on {1, 2, . .)?

Reference no: EM131810314

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