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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Choose the correct alternative: The random variable X has the probability density functionabotherwisef(x)={ax+b0<x<10otherwiseand E(X) = 712, then a and b are respectively - Mathematics

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Question

Choose the correct alternative:

The random variable X has the probability density function
`f(x) = {{:("a"x + "b", 0 < x < 1),(0, "otherwise"):}`
and E(X) = `7/12`, then a and b are respectively

Options

  • 1 and `1/2`

  • `1/2` and 1

  • 2 and 1

  • 1 and 2

MCQ

Solution

1 and `1/2`

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Continuous Distributions
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Chapter 11: Probability Distributions - Exercise 11.6 [Page 220]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 11 Probability Distributions
Exercise 11.6 | Q 13 | Page 220

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