This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university
B.Sc. (Part—I) Semester—II Examination
STATISTICS
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Time : Three Hours] [Maximum Marks : 80
Note :— All questions are compulsory.
- (A) Fill in the blanks :
- Karl Pearson’s coefficient of correlation is also called as ~ correlation coefficient.
- The point of intersection of two lines of regression is __________.
- Mean, mode and median of the normal distribution are __________.
- In Poisson distribution mean and variance are __________.
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- For perfect negative correlation r = __________.
- +1
- -1
- 0
- =
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- The term regression was first studied by :
- Karl Pearson
- Bernoulli
- Sir Francis Galton
- R.A. Fisher
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- The __________ distribution is said to have a property of lack of memory.
- Binomial
- Poisson
- Exponential
- Negative binomial
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- For normal distribution f4 = __________.
- 3
- -3
- 0
- 1 2
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- What do you mean by dichotomous classification ?
- What is a correlation coefficient ?
- State the continuous distribution for which mean is equal to variance.
- What do you mean by standard normal variate ?
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- (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 - (B) Obtain the normal equations for fitting a straight line. 4 (C) Explain the term multiple correlation with the help of example. 4
OR
- (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
- (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
- (P) Define the following terms :
- Ultimate classes
- Association of attributes
- Order of classes and class frequencies
- Positive class and negative class
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- (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
- (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
- (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
- (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
- (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
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- (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
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This download link is referred from the post: SGBAU BSc Last 10 Years 2010-2020 Question Papers || Sant Gadge Baba Amravati university