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Pune University - FY BSc STATISTICS - II (Old Course)

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Total No. of Questions : 5] P233 [Total No. of Pages : 5 [3717] - 65 F.Y. B.Sc. STATISTICS / STATISTICAL TECHNIQUES Discrete Probability & Probability Distributions (Old Course) (Paper - II) Time : 3 Hours] Instructions to the candidates : 1) All questions are compulsory. 2) Use of statistical tables and calculator is allowed. 3) Figures to the right indicate full marks. 4) Symbols have their usual meanings. [Max. Marks : 80 Q1) Attempt the following: a) [8 x 2 = 16] Write down the sample space for the following random experiments. i) Counting of number of defective bulbs in a sample of 10 bulbs. ii) A student appears for an examination till he passes. b) What is probability of getting at least one head when two fair coins are tossed. c) Explain : Discrete random variable. d) Prove that variance of a constant is zero. e) State axioms of probability. f) Let A and B be two independent events, such that P(A) = find ( U ) . g) 1 1 , P(B) = , 4 3 Determine K, such that the following function is probability mass function (P.m.f.) of r.v.X. ( = x ) = Kx , x = 1, 2, 3, 4, 5 5 = 0, otherwise. h) Define Bernoulli distribution with parameter P, state mean of Bernoulli distribution. P.T.O.

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Additional Info : F.Y.B.Sc. STATISTICS / STATISTICAL TECHNIQUES Discrete Probability & Probability Distributions (Old Course) (Paper - II), Pune University
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