Name of the University : Vikrama Simhapuri University
Exam : Post Graduate Common Entrance Test- PGCET 2017
Subject : Statistics
Year : 2016
Document Type : Previous Question Papers
Website : https://vsu.ac.in/
Download Previous Question Papers : https://www.pdfquestion.in/uploads/13728-Stattistics.2016.pdf
VSUPGCET Statistics Question Paper
Section – A
1. For a symmetric data, A41, 7 = 0, 1,2. =
(a) 0
(b) 1
(c) -1
(d) 3
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2. With usual notation, A (corrected) =
(a) h3
(b) h1
(c) ht
(d) h2
3. When the distribution has open end classes then – may be used as a measure of skewmess?
(a) B1
(b) B2
(c) Karl Pearson’s coefficient of skewmess
(d) Bowley’s coefficient of skewmess
4. For a Leptokurtic curve
(a) b2 = 0
(b) r2 = -1
(c) r2 > 0
(d) b2 < 0
5. Axiomatic approach to probability was first developed by
(a) Kolomo
(b) Laplace
(c) Von Mics
(d) Bayes
6. In the sample space S, the empty set * is known as — event
(a) Certair
(b) Impossible
(c) independent
(d) Dependent
7. With usual notation
(a) P(d) = 0
(b) P(A)= 1
(c) P()> 0
(d) P(i) < 0
8. For ‘n’ events E. E. E. Boole’s inequality
(a) Phs P(E)-{n-1)
(b) PUB|- P(E)
(c) H< E | < 0
(d) PU B) < } P(E)
9. For any two events E, and E.
(a) P(EnE<P(E)<P(E, UE)<P(E)+ P(E)
(b) P(EUE<P(E)<P(EnE)<P(E) + P(E)
(c) P(E)+P(E)>P(EUE.)>P(E)<P(EAE)
(d) P(E) > P(E nE.)> P(E, UE.) > P(E) + P(E)
10. The total number of Conditions for mutual independence of events
(a) 2″
(b) 2″ -1
(c) 2″ – m +1
(d) 2″ -1-7
11. Twenty books distributed randomy to 10 students. The probability that a Student does not receive any book is
(a) (0.1)
(b) (0.9)
(c) (0.5)
(d) (0.2)
12. If A and X be random variables then
(a) Max LA,MI and Min (XX, are random variables
(b) Max LX, MJ and Min (XX, are not random variables
(c) Max LXX, is random variable. But Min |XX??l is not random variable
(d) Min is random variable. But, Max (XX, is not random variable
13. A pandom variable which takes tably infinite values is known as random variable
(a) Discrets
(b) Continuous
(c) Discrete or continuous
(d) Independent
14. 1G Avariable which is governed by some probability law is called
(a) Mathematical variable
(b) Random variable
(c) Dependent variable
(d) Independent variable
15. For mathematical expectations, cauchy – SchwartZ inequality
(a) 0
(b) 1
(c) -1
(d) 2
Section – B
16. Binomial distribution was discovered by
(a) Bermouli
(b) Poisson
(c) Laplace
(d) De-Move
17. With usual notation, the moment generating functions of binomial distribution
(a) {p + qe)
(b) (q+pe)
(c) (q/pe)
(d) (q-pe)
18. —- is a distribution of rare events.
(a) Binomial distribution
(b) Poisson distribution
(c) Normal distribution
(d) Bernoulli distribution
19. With usual notation, the variance of geometric distribution
(a) —
(b) P
(c) +
(d) Q
20. Poisson distribution is a limiting case of— distribution
(a) Norm
(b) Negative binomial
(c) Cauch
(d) Log-normal
21. For distribution, B = 0.
(a) Normal
(b) Binomial
(c) Poisson
(d) Geometric
22. Memoryles property refers to — distribution.
(a) Binomal
(b) Poisson
(c) Cauchy
(d) Geometric
23. Exponential distribution is — and
(a) Negatively skewed. Platy Kurtic
(b) Positively skewed. Platy Kurtic
(c) Positively skewed, Leptokurtic
(d) Negatively skewed, Leptokurtic
24. The Square of correlation coefficient lies between
(a) -1 and +1 |
(b) 0 and 1
(c) 0 and -1
(d) o and + 1
25. is not affected by change of origin and scale.
(a) Correlation coefficient
(b) Regression coefficient
(c) Coefficient of association
(d) Coefficient of variation
26. Scatter diagram refers to
(a) Estimation method
(b) Test of significance
(c) Measure of Central Tendency
(d) Correlation analysis
27. —- is known as father of Biostatistics.
(a) R.A. Fisher
(b) F, Galton
(c) Karl Pearson
(d) Spearman
28. In the case of Tie ranks’, with usual notation, the correction factor for spearman’s Tank correlation coefficient
(a) g
(b) 12
(c) -12
(d) 21
29. Generally, standard error of statistic is a function of
(a) Level of significance
(b) Sample mean
(c) Sample median
(d) Sample size
30. Student’s t-distribution was due to
(a) R.A. Fisher
(b) W.S. Gosset
(c) F,Galton
(d) Snedecor