Question: Show that the cdf for a geometric random variable is given by FX(t) = P(X t) = 1 (1 p)[t], where [t]

Show that the cdf for a geometric random variable is given by FX(t) = P(X ≤ t) = 1 − (1 − p)[t], where [t] denotes the greatest integer in t, t ≥ 0.

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