PTU Punjab Technical University B-Tech May 2019 Question Papers 5th Semester Electrical and Electronics Engineering (EEE)-EE-Electrical Engineering
Total No. of Pages : 02
Total No. of Questions : 09
B.Tech. (Electrical Engineering & Industrial Control) (2012 Onwards)
B.Tech.(Electrical & Electronics/E lectronics & E lectrical/EE) (2011 Onwards)
(Sem.?5)
NUMERICAL AND STATISTICAL METHODS
Subject Code : BTEE-505
M.Code : 70558
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1.
SECTION-A is COMPULSORY consisting of TEN questions carrying T WO marks
each.
2.
SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3.
SECTION-C contains T HREE questions carrying T EN marks each and students
have to attempt any T WO questions.
SECTION-A
Q1.
a) What is the difference between Rounding Error and Chopping?
b) Find order of Convergence of Bisection Method.
c) Define Pivoting and types of Pivoting.
d) Write Gauss-Legendre quadrature formula.
e) Write General Euler's formula. What is the disadvantage of this method?
f) Differentiate between interpolation and curve fitting.
g) Determine the step size that can be used in the tabulation of f (x) = sin x in the interval
0,
at equally spaced nodal point so that the truncation error of quadratic
4
interpolation is less than 5 ? 10?8.
h) Is there any fallacy in the statement: The mean of binomial Distribution is 20 and its
standard deviation is 7?
i) Define level of significance.
j) Define probability distribution.
SECTION-B
x
Q2.
Compute root of equation
2
2
x e
1 in the interval [0, 2] using fixed point iteration
Method. The root should be correct to three decimal places.
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Q3.
Solve the following system of equations using Gauss-Seidal iterative method.
27x + 6y?z = 85
x + y + 54z = 110
6x + 15y + 2z = 72
Q 4.
The velocity `v' of a particle at distance `s' from a point on its linear path is given in the
following table :
S (m) :
0
2.5
5
7.5
10
12.5
15
17.5
20
V(m/sec) :
16
19
21
22
20
17
13
11
9
Estimate the time taken by the particle to traverse the distance of 20 meters.
Q5.
Derive relation between Divided Differences and Ordinary Differences.
Q6.
Obtain a relation of the form y = abx for the following data by the method of least
squares:
X
2
3
4
5
6
Y
8.3
15.4
33.1
65.2
126.4
SECTION-C
Q7.
Use the Runga-Kutta fourth order method to find the value of y when x = 1, given that y =
dy
y x
1 when x = 0 (taking n = 2) and
.
dx
y x
Q8.
After correcting the proofs of the first 50 pages of a book, it is found that on an average
there are 3 errors per 5 pages. Use Poisson distribution to estimate the number of pages
with 0, 1, 2, 3 are more than 3 errors in the whole book of 1000 pages.
(Given e?6 = 0.5488).
Q9.
A sample of 200 persons with a particular disease was selected. Out of them 100 were
given drug and others were not. The results were observed as follows :
Drug
No Drug
Total
Cured
55
65
120
Not Cured
45
35
80
Total
100
100
200
Test whether the drug has been effective in curing the disease. (Given 2
3.84 )
0.05
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 04 November 2019