Saurastra University 2006 M.C.A 204 : Computer Oriented Numerical and Statistical Method - Question Paper

SU-7623    Seat No._

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M. C. A. (Sem. II) Examination May/June - 2006 204 : Computer Oriented Numerical and Statistical Method

Time : 3 Hours]    [Total Marks : 75

1    Attempt any four of the following:    [20]

(1)    Write a C program to find out the value of y at given point x using Lagranges interpolation formula

(2)    Write a C program to find out the value of y for the given ordinary differential equation correct upto 3 decimal places using Eulers Modified method.

(3)    Write a C program to find and print the value of the given integration using Trapezoidal and Simpsons 1/3 rule.

(4)    Write a C program to find and print the in place transpose of the given square matrix.

(5)    Write a C program to find the root of the given transcendental equation using false position method correct up to 3 decimal places.

[20]

2    Attempt any four of the following:

(1)    Explain Gauss Elimination method and solve the following example using the same method

6x-y=3; -x+6y-z=4; -y+6z=3

(2)    What is interpolation? Explain the forward difference and forward difference table.

(3)    What is non linear equation? Find the formula for Newton Raphson method.

(4)    Find the value of y at given point x=l using Eulers method for the following: take h=0.2 and y(0)=4

y' = 3x²+y

(5)    Find the value of y at given point x=1925 using the Newtons backward

X	1891	1901	1911	1921	1931
Y	46	66	81	93	101

[5]

3    Write a program for the Horner method.

[20]

4    Attempt any four of the following:

(1)    Write a programmed to find the arithmetic mean for the simple series.

(2)    Explain the property of correlation of coefficient

(4)    The odds that a book on statistic will be favorable received by 3 independent critics are 3 to 2 ,4 to 3 and 2 to 3 respectively what is the probability the of 3 received

(i)    all will favorable

(ii)    Exactly one review wi 11 favorable

(5)    Obtain correlation coefficient between the x and y

X	38	42	34	46	30	22	14	18	26	10
Y	64	66	62	68	60	56	52	54	58	50

[10]

Obtain mean deviation and quartile deviations following distribution and Write C program to find!

ie Mean deviations

X 10-15 15-20 20-25 25-30 30-35 35-40 40-45 Y 8 14 18 25 15 14 6

SU-7623]    2    [ 200]

Attachment: saurastra-university-2006-m-c-a--25894-1.pdf

Earning:   Approval pending.