B.E-B.E Biotechnology 1st Sem COMPUTATIONAL TECHNIQUES AND BIOSTATISTICS(University of Pune, Pune-2013)
UNIVERSITY OF PUNE
[4363]-274
T. E. ( Biotechnology) Examination- May 2013
COMPUTATIONAL TECHNIQUES AND BIOSTATISTICS
(2008 Course)
Total No. of Questions : 12 [Total No. of Printed Pages :3]
[Time : 3 Hours] [Max. Marks : 100]
(1) Answer any three questions from Section I and three
questions from Section II
(2) Figures to the right indicate full marks.
(3) Use of Programmable calculator is not allowed.
(6) Assume suitable data, if necessary.
SECTION-I
Q1.
- Describe the working procedure for fitting a straight line y=a +
- Find the values of A and Y which best fit the equation A=mY +x by using
- Velocity and time are related by the equation of the form v=a t . find "a"
- Evaluate ∆ [(1-ax)(1-b x )(1-c x )(1-d x )] [6]
following terms. [8]
the following data. [8]
A 12 15 21 25 Y 50 70 100 120
OR
Q2. Describe the working procedure for fitting the curve of the form [8]
Q3. What is Interpolation? What are the drawbacks of Lagrange's formula? How can it be used corrected? [8]
Q4. By using Simpson's 1/3 rule find the value of the function e-x dx taking seven coordinates.
OR
Q5. What is Numerical Integration? What do you mean by Quadrature? Deduct
Weddle's rule by using Newton Cote's Quadrature formula? [18]
SECTION-II
- Q6 .Find the real root of y=3x-cosx-1 by Newton's method correct too four
decimal places. [8]
b) Use the method of False position to find the fourth root of 32 correct to three
decimal places. [8]
OR
Q7.
a) Define Quasi random Sampling method? How can it be formed? When is it
used? What is the working procedure adopted for sampling under this method?
b) Define the following terms.
1) Representative Sample
2) Bias
3) Statistics
Q8. Explain the factors considered while choosing a suitable diagram for the representation of any data. [16]
OR
Q9. Write detailed notes on Ogives. Why is it so called? Describe the methods of
constructive Ogive? What are its uses? [16]
Q10.
a) A Personal Manager is interested in trying to determine whether absenteeism
is greater on the day of the week than on another. His records for the past
year show this sample distribution. [10]
Day of week mon tue wed thu fri
No of Absentees 66 51 54 48 75
b) Test whether the absence is uniformly distributed over the week.
The mean produce of wheat of a sample of 100 fields is 200lb/acre with a standard deviation of 10lb. Another sample of 150 fields gives the mean at 220 with a standard deviation of 12lb. Assuming the standard deviation of
the mean field at 1lb of the universe, find 1% level if the two results are consistent. [8]
OR
Q11.
a) Prices of shares of a company on different days in a month were found to be
66,65,69,70,69,71,70,63,64,68. Discuss whether the prices of the shares be
65. Table value of t=2.262. [9]
b) Find the average rate of increase in population which in the first decade has
increased by 20%, in second decade by 30% and in the third decade by 40%.
[9]
| Earning: ₹ 7.05/- |
