DISTANCE EDUCATION
B.Sc. (Computer Science)/B.Sc (CS)(lateral). DEGREE
EXAMINATION, MAY 2016.
SCIENTIFIC COMPUTING
(2007 Onwards)
Time Three hours Maximum 100 marks
Answer any FIVE questions.
All questions carry equal marks.
20 100)
1. Solve the following system by gauss elimination
method.
4 9 16.
3 2 3 18
2 10



x y z
x y z
x y z
Using Gauss Jordan method, solve the following
system of equations.
3 4 0.
2 4
2 3 8



x y z
x y z
x y z
2. Apply Gauss Seidal method to solve the system of
equations
3 20 18
20 2 17


x y z
x y z
2x 3y 20z 25.
Sub. Code
24
DE-3399
2
Construct Newton's forward interpolation
polynomial for the following data:
x 4 6 8 10
y 1 3 8 16
3. Using Lagrange's interpolation formula compute
f :given f f f f 16 and
128
Find given
x 0 1 2 3 4
y 1 1 15 40 85
Hence find at x=0.5.
4. Evaluate
1
01 x
dx by using Trapezoidal rule, taking
h=0.5 and h=0.25.
Calculate mean, median and mode from the
following frequency distribution of marks at a test
in statistics.
Marks 5 10 15 20 25 30 40 45 50
No.of students 20 43 75 76 72 45 9 8 50
5. Calculate the standard deviation from the following
data: 14,22,9,15,20,17,12,11.
Fit a straight line trend to the data and estimate
the expected profit for the year 1987.
Year 1980 1981 1982 1983 1984 1985 1986
Profit (in lakhs) 60 72 75 65 80 85 95
DE-3399
3
6. A husband and wife appears in an interview for two
vacancies in the same post. The probability of
husband's selection is and that of wife's
selection is What is the probability that.
Both of them will be selected.
Only one of them will be selected.
Two cards are drawn at random from a well suffled
pack of 52 cards. What is the probability that.
Both are aces
Both are red
At least one is an ace.
7. A petrol pump proprietor sells on an average
Rs.80,000 worth of petrol on rainy days and an
average of Rs.95,000 on clear days. Statistics from
the meteorological department show that the
probability is 0.76 for clear weather and 0.24 for
rainy weather on coming Monday. Find the
expected value of petrol sale on coming Monday.
A dealer in refrigerators estimates from his past
experience the probabilities of his selling
refrigerators in a day. These are as follows.
No. of refrigerators
sold in a day
0 1 2 3 4 5 6
probability 0.03 0.20 0.23 0.25 0.12 0.10 0.07
Find the number of refrigerators sold in a day.
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8. In an experiment on immunization of cattle from
tuberculosis, the following results were obtained.(10)
Affected Not effected
12 26
Inoculated
not inoculated
16 6
Calculate 2 and discuss the effect of vaccine in
Controlling susceptibility to tuberculosis.
value of 2 for one degree of freedom=3.84)
Explain the analysis of variance in two-way
classification model.