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A probabilitydensity function on the interval [a,1] is given by1/x2 and outside this interval the value of the function is zero.The value of a is _____________.
  • a)
    0.5:0.5
  • b)
    0.5:1.0
  • c)
    1.0:0.5
  • d)
    1.0:1.0
Correct answer is '0.5'. Can you explain this answer?
Verified Answer
A probabilitydensity function on the interval [a,1] is given by1/x2 an...

But, this is equal to 1.
So, (-1) + (1/a) = 1
Therefore, a = 0.5
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A probabilitydensity function on the interval [a,1] is given by1/x2 and outside this interval the value of the function is zero.The value of a is _____________.a)0.5:0.5b)0.5:1.0c)1.0:0.5d)1.0:1.0Correct answer is '0.5'. Can you explain this answer?
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