Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) Mechanical Engineering 2020 December 6th Sem 71188 Statistical And Numerical Methods In Engineering Previous Question Paper

Total No. of Pages : 02

Total No. of Questions : 18

B.Tech. (ME) (2012 Onwards) (Sem.?6)

STATISTICAL AND NUMERICAL METHODS IN ENGINEERING

Subject Code : BTME-604

M.Code : 71188

Time : 3 Hrs. Max. Marks : 60

INST RUCT IONS T O CANDIDAT ES :

1 .

SECT ION-A is COMPULSORY cons is ting of TEN questions carrying TWO marks

each.

2 .

SECT ION-B c ontains F IVE questions c arrying FIVE marks eac h and s tud ents

have to atte mpt any FOUR q ues tions.

3 .

SECT ION-C contains THREE questions carrying T EN marks e ach and s tudents

have to atte mpt any T WO questio ns.

SECTION-A

Write briefly :

1.

Give two properties of normal distribution.

2.

What do you mean by stratified sampling?

3.

A bag contains 6 white, 4 red and 10 black balls. Two balls are drawn at random. Find the

probability that they will both be black.

4.

Differentiate bisection and Newton-Raphson methods.

5.

Discuss Modified Euler's Method.

6.

Define level of significance.

7.

How Histogram is different from bar chart?

8.

Calculate median of this data set (1, 2, 3, 4, 5, 6, 7, 8). Round off your answer to one

decimal place.

9.

Mean is greater than median (True or false).

10. State Simpson's 1/3 rule.

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SECTION-B

11. The specimen of copper wires drawn form a large lot have the following breaking strength

(in kg. weight) :

578, 572, 570, 568, 572, 578, 570, 572, 596, 544

Test (using t-statistic) whether the mean breaking strength of the lot may be taken to be 578

kg. weight (Test at 5% level of significance and table value of t = 2.262 at 9 d.f.).

12. Consider B. Tech. class with 45 female students and 55 male students. Only 25 females

have cleared a statistical exam whereas 30 males have cleared the same exam. On the basis

of above information, answer the following questions :

a) What is the probability that a randomly chosen student is a male?

b) What is the probability that a randomly chosen student has cleared the exam?

c) What is the approximate probability that a randomly chosen student has cleared the

exam, given the student is female?

13. Find the number of terms of the exponential series such that their sum gives the value of ex

correct to six decimal places at x = 1.

14. Find a real root of 2x ? log10 x = 7 correct to four decimal places using iteration method.

15. In the table below, the values of y are consecutive terms of a series of which 23.6 is the

6th term. Find the first and tenth terms of the series :

x :

3

4

5

6

7

8

9

y :

4.8

8.4

14.5

23.6

36.2

52.8

73.9

SECTION-C

16. From the table below, for what value of x, y is minimum? Also find this value of y.

x :

3

4

5

6

7

8

y :

0.205

0.240

0.259

0.262

0.250

0.224

17. Solve 10x ? 7y + 3z + 5u = 6,

?6x + 8y ? z?4u = 5,

3x + y + 4z + 11u = 2,

5x ? 9y ? 2z + 4u = 7 by Gauss-Jordan method.

18. Apply Runge-kutta method to find approximate value of y for x = 0.2, in steps of 0.1,

if dy/dx = x + y2, given that y = 1 where x = 0.

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 13 February 2021