Download SGBAU BSc 2019 Summer 1st Sem Statistics Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) BSc 2019 Summer (Bachelor of Science) 1st Sem Statistics Previous Question Paper

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AVV?l 630
B.Sc. (Part?I) Scmcster?I Examination
IS : STATISTICS
Three Hours] [Maximum Marks : 80
Note :-? All questions are compulsory.
(A) Fill in the blanks :
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(i) Decilcs divide the series into _7 equal parts.
(ii) Probability lies between __
(iii) The mathematical expectation of product of random variables is the product
of their expectation.
(iv) The most stable measure of dispersion is . 2
Choose the correct alternative (MCQ) :
(i) The ideal measure of central tendency is :
(a) "Arithmetic mean (b) Harmonic mean
(0) Geometric mean (d) Mode
(ii) The highest level of scale of measurement is :
(a) Ordinal scale (b) Nominal scale
(c) Ratio scale ((1) Interval scale
(iii) If P(A) : 0 then event A is called :
(a) Probable event (b) Sine cvcnt
(c) Impossible event (d) None of these
(iv) Standard deviation depends upon :
(3) Origin (b) Scale
(c) Origin and Scale ((1) None of these 2
Answer in one sentence each :
(i) What do you mean by nominal data ?
(ii) De?ne random variable.
(iii) What is median '?
(iv) De?ne raw moment. 4
Explain primary data and secondary data. 4
Explain the function of NSSO. 4
De?ne :
(i) Ratio scale
(ii) Interval scale. 4
OR
What are the importance of statistics ?? 4
What are the functions of C80 ? 4
What are the limitations of statistics '3 4
Show that algebraic sum of deviations of various values taken from arithmetic mean
is zero. 4
How will you obtain median in case of continuous frequency distribution ? 4
Explain classi?cation of data. State its various types. 4
OR
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What are the basic principles 01' a gout! classi?catim 4
De?ne arithmetic mean. State its merits and dcmerit; 4
De?ne the term less than and more than cumulative quenc)r distribution. 4
Obtain the relation between standard deviation & roc mean square deviation. 4
State the characteristics oJ? an ideal measure of dispc 5n. 4
Obtain the rclationsh ;1 between central moments and N? moment. 4
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Show that stantiard deviaton is least value of rout mt n square deviation. 4
De?ne Range and Ccct??cicnt of Range 4
Show that variance is indupcndent 01? change of origin but not of scale. 4
State axioms 01? probability. 4
De?ne :
(i) Favourable Evcn?.
(ii) Random Expcrin?cnt. 4
A card is dmvm from a wcl'. shuffled pack ofpiaying cards. What is the probability that
it is either a spade or an ace ?? 4
OR
What is the chance that non-ieap year selected at random will contain 53 Sundays ?.?
4
Prove that : PtAuB) PIA) A P(B) ? P(Ar?B)
whcre A and B are 311) two events. 4
De?ne axiomatic approach of the probability. ? 4
De?ne distribution function of a random variable X and prove that :
P (a < x s. b) : ['tb) Hal) 6
De?ne variance of random variable in terms 01' mathematical expectations. Show that :
Vv'ax r! b) -? awm 6
OR
If F is distribution of r. V, :t then.
F(? 30):)1?in}F(x):0
F(oc)=-limF(x)al 6
Prove that :
(i) E (ax + b) '-; a E(x?) 4 b
(ii) E (ax) = a E(x)
(iii) V (ax b) ~*?~ a;\"(.\:) 6
Let X be the r.v. with idtt'.
X : O 1 '2 3
P(x): 1/3 1x2 1124 1/8 .
Find E(x). E(x") and Van 6
De?ne moment generating.- t'uhction. find its effect of change of origin and scale. 6
OR
State and prove addition property of m.gl?. Prove that Mcx (t) = M? (cl) 6
Explain joint probability [noun function of marginal and conditional probability functions.
6
04 l 275