Let X₁, X₂,... be a sequence of binomial random variables on a probability space (S,F), P) with probability mass function Show that P(X₂ = 1) = 1 - P(X₂ = 0) Xn a.s. → 0. 1 n2, n ≥ 1.

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Let X₁, X₂,... be a sequence of binomial random variables on a probability space (S,F), P) with probability
mass function
Show that
P(X₂ = 1) = 1 - P(X₂ = 0)
=
Xn
a.s.
→ 0.
1
n2, n ≥ 1.
Transcribed Image Text:Let X₁, X₂,... be a sequence of binomial random variables on a probability space (S,F), P) with probability mass function Show that P(X₂ = 1) = 1 - P(X₂ = 0) = Xn a.s. → 0. 1 n2, n ≥ 1.
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