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GATE EC 2020 Set 1 — Question 64

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NAT+2 / -0MediumRandom VariablesProbabilityEngineering MathematicsConditional ProbabilityFunctions of Random Variables

Engineering Mathematics → Probability → Conditional Probability

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Question

XX is a random variable with uniform probability density function in the interval [−2,10][-2, 10]. For Y=2X−6Y = 2X - 6, the conditional probability P(Y≤7∣X≥5)P(Y \leq 7|X \geq 5) (rounded off to three decimal places) is _________.
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