(e) Test of independence for Bernoulli random variables: Let X, Y be two Bernoulli random variables and denote by p= P (X = 1), q = P (Y = 1) and r = P (X = 1, Y = 1). • Prove that X and Y are...

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(e) Test of independence for Bernoulli random variables: Let X, Y be two Bernoulli random variables and<br>denote by p= P (X = 1), q = P (Y = 1) and r = P (X = 1, Y = 1).<br>• Prove that X and Y are independent if and only if r = pq.<br>

Extracted text: (e) Test of independence for Bernoulli random variables: Let X, Y be two Bernoulli random variables and denote by p= P (X = 1), q = P (Y = 1) and r = P (X = 1, Y = 1). • Prove that X and Y are independent if and only if r = pq.

Jun 11, 2022

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(e) Test of independence for Bernoulli random variables: Let X, Y be two Bernoulli random variables and denote by p= P (X = 1), q = P (Y = 1) and r = P (X = 1, Y = 1). • Prove that X and Y are...

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