Download PTU B.Tech 2020 March EE 6th Sem Numerical And Statistical Methods Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) BE/BTech EE (Electrical Engineering) 2020 March 6th Sem Numerical And Statistical Methods Previous Question Paper

1 | M - 72790 (S2)-1806
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech.(EE) PT (Sem.?6)
NUMERICAL AND STATISTICAL METHODS
Subject Code : BTEE-505
M.Code : 72790
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) Define Relative and percentage error.
b) Discuss convergence of Bisection method.
c) Evaluate ?(e
x
log 3x).
d) Evaluate
6
2
0
1
dx
x ?
?
by trapezoidal method.
e) Discuss Picard method.
f) Define Expectation.
g) Write Pdf of Geometric distribution.
h) Define critical region in sampling.
i) Find the least square fit of y = ax
b
.
j) Discuss Gauss Seidel method.
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1 | M - 72790 (S2)-1806
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Tech.(EE) PT (Sem.?6)
NUMERICAL AND STATISTICAL METHODS
Subject Code : BTEE-505
M.Code : 72790
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
1. Write briefly :
a) Define Relative and percentage error.
b) Discuss convergence of Bisection method.
c) Evaluate ?(e
x
log 3x).
d) Evaluate
6
2
0
1
dx
x ?
?
by trapezoidal method.
e) Discuss Picard method.
f) Define Expectation.
g) Write Pdf of Geometric distribution.
h) Define critical region in sampling.
i) Find the least square fit of y = ax
b
.
j) Discuss Gauss Seidel method.
2 | M - 72790 (S2)-1806
SECTION-B
2. Develop Newton Iterative formula for finding , N N being the positive integer. Hence
evaluate 13 .
3. Solve using Gauss elimination method :
2x + y + z = 10
3x + 2y + 3z = 18
x + 4y + 9z = 16
4. A curve passes through the points (0, 18), (1, 10), (3, ?18) and (6, 90). Using Lagrange
formula, find the slope of the curve at x = 4.
5. Using Gauss-Legendre 2-point formula, evaluate :
I =
2
4
1
2
1
x
dx
x ?
?

6. Using method of Least squares fit the curve y = ax + bx
2
to the following table
x 1 2 3 4 5
y 1.8 5.1 8.9 14.1 19.8

SECTION-C
7. Given ,
dy y x
dx y x
?
?
?
y (0) = 1. Find y (0. 4) using Runge Kutta Method of fourth order with
the step size of 0.2.
8. A set of five coins is tossed 320 times and the customers
No. of Heads : 0 1 2 3 4 5
Frequency : 6 27 72 112 71 32
Given that ?
0.05
for 5 degrees of freedom is 11.07. Test the goodness of fit of Binomial
distribution.
9. a) In a normal distribution, 31% of the item are under 45 and 8% are over 64. Find the
mean and S.D. of the distribution.
b) In 240 sets of 12 tosses of a coin, in how many cases one can expect 7 heads and 5
tails.

NOTE : Disclosure of identity by writing mobile number or making passing request on any
page of Answer sheet will lead to UMC against the Student.
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