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Let X and Y be independent Bernoulli random variables with parameter p : (a) Compute Cov ( X + Y, | X Y |) (b)

  1. Let Xand Ybe independent Bernoulli random variables with parameter p:

(a) Compute Cov(X+ Y,|X Y |)

(b) Show that

Pr(X+ Y= 0 and |X Y| = 0) Pr(X+ Y = 0) Pr(|X Y| = 0)

(c) Conclusion ?

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