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GATE CE 2025 Set 1 — Question 14

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MCQ+1 / -0.33MediumRandom VariablesProbabilityEngineering MathematicsPMF, PDF & CDF

Engineering Mathematics → Probability → PMF, PDF & CDF

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Question

XX is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for XX is
P(X=0)=0.4;P(X=1)=0.3;P(X=7)=0.1;P(X=11)=0.1;P(X=12)=0.1P(X = 0) = 0.4; P(X = 1) = 0.3; P(X = 7) = 0.1; P(X = 11) = 0.1; P(X = 12) = 0.1
Then, the variance of XX is
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