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State whether the following statement is True or False: If f(x) = kx (1-x),for 0<x<1=0,otherwiseis the p.d.f. of a r.v. X, then k = 12 - Mathematics and Statistics

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Question

State whether the following statement is True or False:

If f(x) = `{:("k"x  (1 - x)",", "for"  0 < x < 1),(= 0",", "otherwise"):}`
is the p.d.f. of a r.v. X, then k = 12

Options

  • True

  • False

MCQ
True or False
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Solution

False

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Probability Distribution of a Continuous Random Variable
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Chapter 2.8: Probability Distributions - Q.3
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