The question paper published below is as per to the syllabus given by the Jammu University.

**1st Internal Assignment**

1. What is sampling and why do we need it? (1 mark)

2. How do you find the sampling distribution? (2 marks)

3. What is Newton Raphson method used for? How do you find the root in Newton Raphson method? (2 marks)

4. What is trapezoidal rule in numerical methods? (2 marks)

**MCA TERM PAPER EXAMINATION**

**NUMERICAL AND STATISTICAL COMPUTING**

**MCA422**

Maximum marks: 27

Note: Attempt any one question from section A. Each question carries 7 marks.

Attempt any two questions from section B. Each question carries 10 marks.

**Section A**

1. Use Newton-Raphson method to find a root of the equation x3-2x-5=0.

2. What are the pitfalls of Gauss-Elimination method?

1. What is meant by solution of differential equation? Explain Modified-Euler method for solving Differential equation.

2. What is Newton Raphson method used for? How do you find the root in Newton Raphson method?

3. What is Lagrange Interpolation Method? Find the Lagrange interpolating polynomial that fits the following data:

x |
0 |
1 |
2 |
5 |

F(x) |
2 |
3 |
12 |
47 |

4. A population has a mean of 50 and a standard deviation of 6.

(a) What are the mean and standard deviation of the sampling distribution of the mean for N = 16?

(b) What are the mean and standard deviation of the sampling distribution of the mean for N = 20?