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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

How do you defi ne variance in terms of Mathematical expectation?

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Question

How do you defi ne variance in terms of Mathematical expectation?

Sum
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Solution

The variance of X is defined by

Var(X) = `sum[x - "E"("x")]^2 "p"(x)`

If X is discrete random variable with probability mass function p(x).

Var(X) = `int_-oo^oo [x - "E"("X")]^2 "f"_x (x)  "d"x`

If X is continuous random variable with probability density function fx (x).

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Mathematical Expectation
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Chapter 6: Random Variable and Mathematical expectation - Exercise 6.2 [Page 141]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 6 Random Variable and Mathematical expectation
Exercise 6.2 | Q 9 | Page 141

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