Maharashi Dayanand University (MDU) 2009 B.C.A Computer Application s of . - Question Paper

BCA 6^th Semester Examination, Jan 2009

 

Jan 2009 Scientific and Statistical computing

 

1(a). What do you mean by Normalized floating representation?

(b). Using Bisection Method find √28 correct up to at least two decimals.

 

2(a). Explain Newtons Forward and Backward interpolation formula. When these are used?

(b). Interpolate to find y when x=10, if

 

X :	5	6	9	11
Y :	12	13	14	16

 

3. (a) Write a note on numerical differentiation.

(b) Use (i) Trapezodial rule.

(ii) Simpsons 1/3^rd rule to evaluate ¹∫₀ x³ dx.

 

4. Explain Eulers method to solve a differential equation. Using this method to solve:

dy/dx = x+y, Y(0) = 0.

Choosing h=0.2, find y(1.0)

 

5. (a) Describe Poisson distribution. Discuss its important properties.

(b). The incidence of a disease in an industry is such that the workers have a 20% chance of suffering from it, what is the probability that out of six workers chosen at random, four or more will suffer from the disease?

6. Define regression lines. Discuss their importance. The two lines are given:

7x 16y +9 = 0

5y 4x -3 =0

 

Find (i) Coefficient of correlation between X and Y.

(ii). Means of x and y.

7. (a) Define:

(i) Power of a test

(ii) Two kinds of error

(b) Discuss the significance of law of large numbers.

 

8. Write notes on any two of the following:

(a) Runga Kutta method

(b) Least Square method

(c) Normal distribution and its properties

(d) Chebyvhev inequality.