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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: Let X be random variable with probability density functionf(x)={2x3x≥10x<1Which of the following statement is correct? - Mathematics

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Question

Choose the correct alternative:

Let X be random variable with probability density function
`f(x) = {(2/x^3, x ≥ 1),(0, x < 1):}`
Which of the following statement is correct?

Options

  • Both mean and variance exist

  • Mean exists but variance does not exist

  • Both mean and variance do not exist

  • Variance exists but mean does not exist.

MCQ
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Solution

Mean exists but variance does not exist

shaalaa.com
Continuous Distributions
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Chapter 11: Probability Distributions - Exercise 11.6 [Page 218]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 11 Probability Distributions
Exercise 11.6 | Q 1 | Page 218

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