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Assume X is a random variable representing the output of a fair dice.
Also
Y = max (2, min (5, X))
What is the variance of Y ?
    Correct answer is between '1.5,1.6'. Can you explain this answer?
    Verified Answer
    Assume X is a random variable representing the output of a fair dice.A...
    E(Y) =Σ Y.P(Y) = 3.5 
     
    = (1.5)2(2/6) + (0.5)2(1/6) + (0.5)2(1/6) + (1.5)2(2/6) = 1.583
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    Assume X is a random variable representing the output of a fair dice.AlsoY = max (2, min (5, X))What is the variance of Y ?Correct answer is between '1.5,1.6'. Can you explain this answer?
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