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Pune University - SY BSc (Sem - I) STATISTICS - I, April 2010

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Total No. of Questions : 4] P270 [Total No. of Pages : 3 [3717] - 113 S.Y. B.Sc. STATISTICS ST - 211 : Discrete Probability Distributions and Time Series (Sem. - I) (Paper - I) (New Course) Time : 2 Hours] [Max. Marks : 40 Instructions to the candidates : 1) All questions are compulsory. 2) Figures to the right indicate full marks. 3) Use of calculator and statistical tables is allowed. 4) Symbols and abbreviations have their usual meaning. Q1) Attempt each of the following: a) Choose the correct alternative in each of the following: i) [1 Each] if the probability mass function (p.m.f.) of a discrete random variable (r.v.) is 1 x p(x) = k , 4 =0 , x = 1, 2, 3, . . . . . . . otherwise then the value of k is A) B) 4 3 C) ii) 3 4 3 D) 1 3 If X is a Poisson r.v. with variance 2 then fourth central moment of X is A) 2 B) 6 C) 12 D) 14 iii) If X NB (k, p) such that E(X) = 16 and Var (X) = 80 then A) k = 4, p = 1 5 B) k = 4, p = 4 5 C) 1 3 D) k = 8, p = 2 3 k = 8, p = P.T.O.

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Additional Info : S.Y. B.Sc. Statistics (Semister - I), ST - 211 : Discrete Probability Distributions and Time Series (Paper - I) (New Course), Pune University
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