CS-07 : DISCRETE
MATHEMATICS DEC 1998
| Time : 3 Hours |
Max. Marks : 75 |
Note : Question number 1 is compulsory. Answer any three
from the rest.
| 1. | (a) | Rewrite the following after
correcting the errors (if any) 1. READ J,K) X, Y 2. DIMENSION SIX(6) 3. MAD = 3 HUR 4. IF A/B, 6, 5, 4 5 GO TO (33, 13, 14), A |
| (b) | Write a FORTRAN program to compute the sum : 1/sqrt(2) + 1/sqrt(3) + 1/sqrt(4)+ .... + 1/sqrt(9) | |
| (c) | Find the inverse of the
following matrix : 1 1 -1 2 |
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| 2. | (a) | What is the distinction between EQUIVALENCE and COMMON declarations in the context of FORTRAN programming ? illustrate with an example. |
| (b) | Consider the following
statements : LOGICAL X,XX DIMENSION X(25), XX(50) DATA X/25*. TRUE./., 25*.FALSE., 25*TRUE./ write single statement for these three statements to achieve the same purpose |
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| 3. | Defining x as an array that can hold upto 500 observations, write a program to determine their mean and standard deviation | |
| 4. | (a) | The following datum is keyed in
at columns 1 to 8 : 9876.543 Write fortran statements to read the value in the variables I, J,K,A,B in such a way that I = 76, J = 54, K = 43 and A = 76.54 and B = 6.543 State 5 rules that apply to use of the Do loops in Fortran Programming |
| 5. | Write a fortran program to evaluate the definite integral ex(x+1)dx by using the trapezoidal rule. Include a subroutine to calculate the same using the standard formula from integral calculus, and to compare the two results | |
| 6. | (a) | What are main characteristics of a normal distribution ? |
| (b) | What is the probability that in a normal distribution, x lies beyond (µ ± 3row)? | |
| 7. | Explain very briefly and
precisely the meaning o f the following terms. 1. Types of class intervals 2. Distinction between median and mode 3. Scatter diagrams 4. Bayes theorem 5. Poisson Distribution |