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PPSC · PMS Punjab 2020

Statistics, Paper I

100 marks · 3 hours · 6 questions
This paper Statistics · all yearsQ. 2 · Write down the properties of…Q. 4 · Find the value of k…Q. 5 · Derive mean and variance of…Q. 6 · Prove that area under the…Q. 7 · Prove that correlation coefficient is…Q. 8 · Fit an equation of the…With this paper← 20192020 →
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Not yet checked 6 of 6 questions have not yet been compared with the official paper.

Q. 2
  1. (a)Write down the properties of variance.
  2. (b)Goals scores by two teams A and B in a football season were as follows.
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Q. 4
  1. (a)Find the value of k so that the function f(x) defined as follows may be a density function. f(x) = {kx, 0 <= x <= 2 {0, elsewhere Find its mean and variance.
  2. (b)The joint probability distribution function of two discrete random variables X and Y is given by: f(x, y) = xy^2 / 30 for x = 1,2,3 and y = 1,2. Are X and Y independent?
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Q. 5
  1. (a)Derive mean and variance of the poison distribution.
  2. (b)An urn contains 4 red balls and 6 black balls.
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Q. 6
  1. (a)Prove that area under the normal distribution curve is unity.
  2. (b)A random variable X is normally distributed with µ =50 and σ² = 25.
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Q. 7
  1. (a)Prove that correlation coefficient is independent of origin and scale. i.e. rxy = Yuv Proof:
  2. (b)Compute the least square regression equation of y on x for the following data.
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Q. 8
  1. (a)Fit an equation of the form Y = axb to the following data.
  2. (b)Fit a second degree parabola to the following data taking x as independent variable.
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About this paper

The 2020 PMS Punjab Statistics paper set by the PPSC. Question wording only; questions marked “Not yet checked” have not been compared with the official paper yet.

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