Problem 2 2.1 Prove the memoryless property for geometric random variable X where its pmf is...

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Problem 2 2.1 Prove the memoryless property for geometric random variable X where its pmf is P(X = k) = (1-p)k-'p. P(X = k +i|X > k) = P(X = i) 2.2 Prove the memoryless property for exponential random variable Y where its pdf is f(x) = de-Ar for r > 0. P(X > s+t|X > s) = P(X > t) Problem 2 2.1 Prove the memoryless property for geometric random variable X where its pmf is P(X = k) = (1-p)k-'p. P(X = k +i|X > k) = P(X = i) 2.2 Prove the memoryless property for exponential random variable Y where its pdf is f(x) = de-Ar for r > 0. P(X > s+t|X > s) = P(X > t)