Let X₁, X₂,... Xn be i.i.d. random variables from Bernoulli(p). Define Y₁ = X₁ X₂, Y₂ = X₂ X3, Yn-1 Xn-1 Xn, Yn = XnX₁. Y = Y₁ + Y₂ + + Yn Which of the following is correct? = O E[Y] = np^2 O E[Y] = n(1-p^2) Var[Y] = np^2 O Var[Y] = n(1-p^2)

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Let X₁, X2,... Xn be i.i.d. random variables from Bernoulli(p).
Define
Y₁ = X₁ · X2,
Y₂ = X₂ X3,
Yn-1 Xn-1 · Xn,
Yn = XnX₁.
Y = Y₁ + Y₂ + + Yn
Which of the following is correct?
=
E[Y] = np^2
E[Y] = n(1-p^2)
Var[Y] = np^2
O Var[Y] = n(1-p^2)
Transcribed Image Text:Let X₁, X2,... Xn be i.i.d. random variables from Bernoulli(p). Define Y₁ = X₁ · X2, Y₂ = X₂ X3, Yn-1 Xn-1 · Xn, Yn = XnX₁. Y = Y₁ + Y₂ + + Yn Which of the following is correct? = E[Y] = np^2 E[Y] = n(1-p^2) Var[Y] = np^2 O Var[Y] = n(1-p^2)
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