Basic Statistics, First Semester, (2021-24), Model Examination, June 2022
SAINTGITS COLLEGE OF APPLIED SCIENCES
PATHAMUTTOM, KOTTAYAM
Model Examination, JUNE / JULY 2022
Department of Computer Applications, First Semester
BASIC STATISTICS AND INTRODUCTORY PROBABILITY THEORY
Total : 80 marks Time: 3 hours
Section A
Answer any 6 questions. Each question carries 3 marks.
(Write in not less than a paragraph)
1. Statistics – numerical facts collected.
2. Sample – representative part of the universe.
3. Sampling Error- error due to drawing inference about population.
4. Correlation- positive. Negative, linear, non-linear, simple, multiple, partial.
5. Covariance between x and y = 3.57
6. Limitations of Regression Analysis.
7. Random Experiment – two or more outcomes- vary in unpredictable manner.
8. Probability of getting i)one head = 3/4, ii)at most two heads = 1/4
9. Define Conditional Probability.
10. Define Random variable.
11. Define Marginal Probability function.
12. Define expectation.
(6 x 3 = 18 Marks)
Section B
Answer any 4 questions. Each question carries 8 marks.
(Write in not less than 2 pages)
13. Write the functions and limitations of statistics.
14. Mean = 24.88 Median = 25
15. Draw Histogram.
16. Scatter Diagram – positive -negative – no correlation.
17. Regression equation x on y
X = 0.56y + 0.75
18. Properties of Regression coefficient.
19. Prove that the probability of an event lies between 0 and 1.
20. State and prove Bayes theorem.
21. Expectation E(x) = ∑xp and Variance = E(x^2) – [E(x)]^2
(4 x 8 = 32 Marks)
Section C
Answer up to 3 questions carrying 15 marks each. However, total marks for this section should not exceed 30 marks. Marks scored over 30 will be ignored
22. Draw Ogive:
23. Coefficient of correlation = 0.95
Equations of regression lines are x =0.95y -6.4 ; y = 0.95x +7.25
24. P(A) = 1/6 ; P(B) = 1/3 and P(C) = 1/2
25. a) Properties of mathematical expectation
b) Expectation = 7.35
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