FirstRanker Logo

FirstRanker.com - FirstRanker's Choice is a hub of Question Papers & Study Materials for B-Tech, B.E, M-Tech, MCA, M.Sc, MBBS, BDS, MBA, B.Sc, Degree, B.Sc Nursing, B-Pharmacy, D-Pharmacy, MD, Medical, Dental, Engineering students. All services of FirstRanker.com are FREE

📱

Get the MBBS Question Bank Android App

Access previous years' papers, solved question papers, notes, and more on the go!

Install From Play Store

Download SGBAU BSc 2019 Summer 2nd Sem Statistics Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) BSc 2019 Summer (Bachelor of Science) 2nd Sem Statistics Previous Question Paper

This post was last modified on 10 February 2020

This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university


FirstRanker.com

B.Sc. (Part—I) Semester—II Examination

STATISTICS

--- Content provided by FirstRanker.com ---

Time : Three Hours] [Maximum Marks : 80

Note :— All questions are compulsory.

  1. (A) Fill in the blanks :
    1. Karl Pearson’s coefficient of correlation is also called as ~ correlation coefficient.
    2. The point of intersection of two lines of regression is __________.
    3. Mean, mode and median of the normal distribution are __________.
    4. --- Content provided by FirstRanker.com ---

    5. In Poisson distribution mean and variance are __________.
    (B) Choose the correct alternative :
    1. For perfect negative correlation r = __________.
      1. +1
      2. -1
      3. 0
      4. =
      5. --- Content provided by FirstRanker.com ---

    2. The term regression was first studied by :
      1. Karl Pearson
      2. Bernoulli
      3. Sir Francis Galton
      4. R.A. Fisher
      5. --- Content provided by FirstRanker.com ---

    3. The __________ distribution is said to have a property of lack of memory.
      1. Binomial
      2. Poisson
      3. Exponential
      4. Negative binomial
      5. --- Content provided by FirstRanker.com ---

    4. For normal distribution f4 = __________.
      1. 3
      2. -3
      3. 0
      4. 1 2
      5. --- Content provided by FirstRanker.com ---

    (C) Answer the following questions in one sentence each :
    1. What do you mean by dichotomous classification ?
    2. What is a correlation coefficient ?
    3. State the continuous distribution for which mean is equal to variance.
    4. What do you mean by standard normal variate ?
    5. --- Content provided by FirstRanker.com ---

  2. (A) Show that coefficient of correlation lies between -1 and +1. 4 (B) Derive the formula for Spearman’s rank correlation coefficient. 4 (C) Define intraclass correlation with example. 4

    OR

    (P) Describe the Scatter diagram. 4 (Q) Show that Karl Pearson’s coefficient of correlation is independent of change of origin and scale. 4 (R) Define and state the formula for Kendall’s rank correlation. 4
  3. (B) Obtain the normal equations for fitting a straight line. 4 (C) Explain the term multiple correlation with the help of example. 4

    OR

  4. --- Content provided by FirstRanker.com ---

  5. (P) Define the two regression coefficients. Prove any one property of regression coefficient. 4 (Q) Derive the equation of line of regression of Y on X 4 (R) Obtain the normal equations for fitting an exponential curve. 4
  6. (A) Explain the term consistency of data. Obtain the condition of consistency in case of two attributes A and B. 4 (B) Explain independence of attributes. State the criteria for independence of the attributes A and B. 4 (C) Examine the consistency of given data N = 1000, (A) = 600, (B) = 500, (AB) = 50. 4

    OR

  7. (P) Define the following terms :
    1. Ultimate classes
    2. Association of attributes
    3. --- Content provided by FirstRanker.com ---

    4. Order of classes and class frequencies
    5. Positive class and negative class
    4 (Q) Give the criteria for consistency of two attributes A, B and C. 4 (R) Derive the relationship between Yule's coefficient of association (Q) and coefficient of colligation s 4
  8. (A) State the probability mass function of Binomial distribution and obtain its cumulant generating function. 6 (B) Obtain mean and variance of discrete uniform distribution. 6

    OR

  9. --- Content provided by FirstRanker.com ---

  10. (P) Derive the recurrence relation for the moments of Binomial distribution. 6 (Q) Obtain the mgf of negative binomial distribution and hence find its mean and variance. 6
  11. (A) Obtain the moment generating function of Poisson distribution. 4 (B) Obtain mean and variance of hypergeometrice distribution. 4 (C) Define geometric distribution. Obtain its mgf and hence find mean and variance. 4

    OR

  12. (Q) Show that mean and variance of the geometric distribution px(X)=qp x=0,1,2, ... are respectively qp ', qp~. 4 (R) Define Hypergeometric distribution and show that it tends to Binomial distribution under certain condition. 4
  13. (A) State the pdf of continuous uniform distribution and obtain its mgf. 6 (B) State the pdf of normal distribution and obtain its mode. 6

    OR

    --- Content provided by FirstRanker.com ---

  14. (P) State the pdf of univariate gamma distribution and obtain its mean and variance. 6 (Q) State any four chief characteristics of normal distribution. 6

FirstRanker.com


--- Content provided by FirstRanker.com ---


This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university