Exercise 3. Let λ > 0 and let X be a continuous random variable with density Sλe-λª, x≥0, Xx 0, f(x) = = elsewhere. 1. W

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Exercise 3. Let λ > 0 and let X be a continuous random variable with density Sλe-λª, x≥0, Xx 0, f(x) = = elsewhere. 1. W

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Exercise 3. Let λ > 0 and let X be a continuous random variable with density Sλe-λª, x≥0, Xx 0, f(x) = = elsewhere. 1. What is the name of this distribution? 2. Compute P(2 < X < 3) and P(X = 2) for λ = 3. 3. Compute P(X > t), P(X > s+t|X > t) in terms of s, t ≥ 0, λ > 0.
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