IGNOU Assignment mca CS-08-TMA January 2007

CS-08: Numerical and Statistical Computing
Semester: III
Assignment Type : TMA
Last date: 15th April, 2007

This is a Tutor Mark Assignment. There are three questions in this assignment. Answer all the questions. You may use illustrations and diagrams to enhance explanations. Please go through the guidelines regarding assignments.


Question 1(a): Evaluate the following FORTRAN expressions: i) 6*(7/6) + MOD(7,6). EQ.7 ii) 1423+// 329 iii) 24*3/4 + 18 **2**3 iv) MAX (IFIX(286.7), 4) v) 24 ? 5. LT. 8. OR. 7.GT.3 [marks: 2]

Question 1(b): Do as directed for each of the following:
(i) Write the sequence of the numbers in which the elements of the following 3 x 3 array are stored in memory in FORTRAN environment.

1155
18723
62612
(ii) Find the value of the real variable x at the end of the execution of the following FORTRAN program segment: y = 3.0
Do 40 I = 1, 10, 2
Do 40 J = 1, 10, 2
y = y + 1.0
40 CONTINUE

(iii) Find the result of executing the following FORTRAN Program segment (stating clearly positions or column numbers wherever required):
I = 9
J = 12
WRITE (6, 200) I, J
200 FORMAT (1, 13, 3 X, 13)
[marks: 1]

Question 2(a): Solve the following system of linear equations by Gaussian elimination method, using four-digit floating point arithmetic and row interchanges:

8x + 24y ? 4z + 24 = 0
15x ? 3y + 6z ? 87 = 0
? 6x ? 8y + 2z ? 10 = 0 [marks: 1]

Question 2(b): Use the Newton-Raphson method to find to three decimal places all the roots of the equation

4x3 - 4.946x2 - 21.476x + 25.526 = 0 [marks: 2]

Question 3(a): The ages (x) and systolic blood pressure (y) of 12 persons are given below:

Ages in years (x)Blood Pressure (y)
41140
67152
60155
55147
41125
71160
35118
62149
46128
54150
48145
37115
Calculate the correlation coefficient between x and y. [marks: 1]

Question 3(b): Three groups of children contain 4 girls and 2 boys; 3 girls and 3 boys; and 4 boys and 2 girls. One child is selected at random from each group. Find the probability of the group of the three children so selected, consisting of 1 girl and 2 boys. [marks: 1]

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