Previous year paper of Probability & Statistical Techniques of UTU BSc-IT 2014. Uttarakhand Technical University Conducted Examination of the Professional Courses. Here we provide a previous year question paper of BSC-IT second semester subject is Probability & Statistical Techniques. Check out all question paper, exam pattern, Syllabus, result.

Previous Year Paper of UTU Probability & Statistical BSc (IT) 2014

B.Sc. Information Technology

UTU (II) SEMESTER EXAMINATION 2014

PROBABILITY & STATISTICAL TECHNIQUES

Time: 3 Hrs.                                                                                 Max. Marks: 70

Note: Attempt any Five Questions. All questions carry equal marks.

Question 1.

a). State and prove Bayes theorem.

b).  A and B alternatively cut a pack of cards and the pack is shuffled after each cut. If A starts and the game is continued until one cuts a diamond, what are the respective chances of A and B first cutting a diamond.

Question 2.

a). What is frequency distribution and what is its importance in statics? 

b). Define Poisson distribution and derive the mean and variance.

Question 3.

a). Calculation the coefficient of correlation and obtain the lines of regression for the     following data.

X:   1   2   3     4     5     6   7

Y:   9   8 10 12   11 13 14

b). Use the method of least squares to fit a straight line to the following data.  

X:   0   5     10     15     20

Y:   7   11   16   20   26

Question 4.

a). Give the mathematical and statistical definition of probability. What is meant by mutually exclusive events? Give an example of i) 3mutual exclusive events. ii) 3events which are not mutually exclusive.

b). Define i) Line of regression ii) Regression coefficient. Derive the equation to the line of regression.

Question 5.

a). Distinguish between Histogram and Ogive curve. Explain their construction with the help of an example of your own choice.

b). Define Beta distribution of second kind with parameters (2,3) Obtain its mean and variance.

Question 6.

a). Explain different methods of sampling.

b). Find mean, median and made

Class          0-9   10-19   20-29   30-39

Frequency 5          10        15          2

Question 7.

a). Prove that for any discrete distribution, stander deviation is not less than mean deviation from mean.

b). State and prove the multiplication theorem of probability for two events. Also give its generalization.

Question 8.

Write short notes on the following:

  1. Arithmetic mean and Geometric Mean
  2. Axioms of probability and conditional probability
  3. Erlang Distribution
  4. Chi square test