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Pune University - SY BSc (Sem - I) STATISTICS - II : Continuous Probab, April 2010

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Total No. of Questions : 4] P271 [Total No. of Pages : 4 [3717]-114 S.Y B.Sc. STATISTICS ST - 212 : Continuous Probability Distributions - I (Sem.-I) (Paper - II) (New Course) Time : 2 Hours] [Max. Marks : 40 Instructions to the candidates: 1) 2) 3) 4) All questions are compulsory. Figures to the right indicate full marks. Use of calculator and statistical tables is allowed. Symbols and abbreviations have thier usual meaning. Q1) Attempt each of the following : a) Choose the correct alternative in each of the following : i) If X is continuous random variable (r.v.) taking positive values then geometric mean (G.M.) is given by A) Antilog [E(X)] C) ii) [1 each] 1 Antilog E log X D) Antilog {E [x.log (X)]} B) Antilog {E [log (X)]} If X and Y are independent random variables then the conditional probability density function (p.d.f.) of Y given X = x is A) Marginal p.d.f. of X. B) Marginal p.d.f. of Y. C) Ratio of joint p.d.f. of X and Y to marginal p.d.f. of Y. D) Ratio of marginal p.d.f. of X to marginal p.d.f. of Y. iii) If Mx(t) = (1 2t) 8, t < A) G (2, 8) B) 1 then the probability distribution of X is 2 G (8, 2) C) 1 G 8, 2 D) 1 G , 8 2 P.T.O.

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Additional Info : S.Y. B.Sc. Statistics (Semister - I), STT - 212 : Continuous Probability Distributions - I (Paper - II) (New Course), Pune University
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