Download OU B.Sc 2017 Dec 1st Semester 7007 Statistics Descriptive Statistics & Probability Question Paper

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Code No.
FACULTY OF SCIENCE
B.Sc. I-Semester (CBCS) Examination, December 2017
Subject: Statistics
Paper - I: Descriptive Statistics and Probability

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Time: 3 Hours Max. Marks: 80

PART-A (5 x 4 = 20 Marks)
(Short Answer Type)
Note: Answer any FIVE of the following questions.

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1. Give the axiomatic definition of probability.
2. Define probability mass function (pmf).
3. Define first four moments.
4. State addition theorem of probability for 4 events.
5. OR

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If A and B are independent, then show that A and B are independent.
6. State and prove Bayes theorem. Give its importance.
7. Define Random variable. A random variable X has the following pmf.

x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7

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p(x) | 0 | k | 2k | 2k | 3k | k² | 2k² | 7k²+k

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OR

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Code No. 7007/E
Find (i) k (ii) p (x<1) (iii) p (x>2) (iv) P(x > 2, x<=5)
8. State axiom of mathematical expectation.

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9. Find the expected value of the sum of numbers of



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