Can you help please: Suppose that X ∼ Geom(p). In chapter 2, we computed the CDF of X as FX(x) = 1 − (1 − p) x , for x = 1, 2, · · · . If p = λ/n, show that Y = X/n converges to an exponential distribution with parameter λ as n → ∞.

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Chapter1: Combinatorial Analysis
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Can you help please:

Suppose that X ∼ Geom(p). In chapter 2, we computed the CDF of X as FX(x) = 1 − (1 − p)
x
,
for x = 1, 2, · · · . If p = λ/n, show that Y = X/n converges to an exponential distribution with
parameter λ as n → ∞.

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