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GATE ME 2018 Set 1 — Question 36

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MCQ+2 / -0.67EasyRandom VariablesProbabilityEngineering MathematicsNormal DistributionStatistics & Distributions

Engineering Mathematics → Probability → Normal Distribution

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Question

Let X1,X2X_1, X_2 be two independent normal random variables with means μ1,μ2\mu_1, \mu_2 and standard deviations σ1,σ2\sigma_1, \sigma_2, respectively. Consider Y=X1−X2Y = X_1 - X_2; μ1=μ2=1,σ1=1,σ2=2\mu_1 = \mu_2 = 1, \sigma_1 = 1, \sigma_2 = 2. Then,
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