Q&A Bank 1.23

Discussion in 'CT3' started by verma.kunal13, Oct 2, 2014.

  1. verma.kunal13

    verma.kunal13 Member

    In this question, why do we integrate from 0 to y/2 and why not -infinity to y/2. Normal distribution ranges from -infinity to infinity. What wrong am I thinking? Help. Thanks.
     
  2. Hemant Rupani

    Hemant Rupani Senior Member

    I think its an erratum, lower value should be \( -\infty \)
     
  3. Hemant Rupani

    Hemant Rupani Senior Member

    Ohhhh! Value from \( -\infty \) to 0 is constant(0.5) so derivative must be zero.

    That gives valuation before derivative is \( -\infty \) to y/2 and after derivative is from 0 to y/2.
     
  4. Margaret Wood

    Margaret Wood Member

    Sorry to cause confusion. We should integrate from minus infinity to y/2. We'll put a note in the corrections document on the website. (Note that this question is Q1.23 in the 2015 CMP.)
     
    Last edited by a moderator: Nov 5, 2014
  5. Jammy

    Jammy Member

    Hi, could someone break down the use of Leibnitz's formula here for differentiating the integrating (pg3 Tables)
     
  6. John Lee

    John Lee ActEd Tutor Staff Member

    b(y) = 1/2y

    So b'(y) = 1/2

    a(y) = -infinity

    So a'(y) = 0

    then we just need f[b(y),y)which is we take f(x,y) and replace x with 1/2y
     
  7. Jammy

    Jammy Member

    The part I couldn't figure was the 3rd term in the formula.

    How is it 0? How do differentiate that exponential term?:confused:
     

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