Statistics · 2021

CSS 2021 Statistics Paper I

4 questions from this paper.

  1. Q1
    Define Sheppard's corrections for moments. Why are they applied? Discuss the effect of change of origin and scale on moments.
    Past paper Moments 20 marks
  2. Q2
    State and prove the Addition Law of Probability for any two events A and B. Extend it to the case of mutually exclusive events.
    Past paper Probability Laws 20 marks
  3. Q3
    Show that for the Normal Distribution, Mean = Median = Mode. Also, explain why the Normal distribution is called a 'limiting case' of Binomial distribution.
    Past paper Normal Distribution 20 marks
  4. Q4
    Define a Discrete Random Variable and its Probability Mass Function (PMF). Given a PMF, find the value of a constant 'k' and calculate the mean.
    Past paper Random Variables 20 marks

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