1. FORTRAN Program for Matrix Multiplication

A Fortran program that reads four natural numbers m,n,p,q and further reads entries of two matrices A and B of real numbers, respectively of size m x n and p x q. Further, the program checks whether the matrix product A x B is defined. If the product is defined then the program computes the product matrix, else prints a suitable message.

2. FORTRAN Program for Factorial Calculation

Write a FORTRAN Function FACT with one Integer parameter N, that computes the factorial of N and prints suitable message.

3. FORTRAN Program for Mean, Minimum and Maximum Calculation

Write a FORTRAN subroutine MMM that computes the mean, the minimum and the maximum of an array A of N real numbers and prints out the values with suitable messages.

4. Draw a Pie Chart

5. Probability Calculation

In a bolt factory Machines A, B and C manufacture respectively 25, 35 and 40 percent of the total. Out of their total output 5, 4 and 2 percent are defective. A bolt drawn from the procedure at random is found to be defective. What is the probability that it is manufactured by (i) factory A (ii) factory C ?

6. Binomial Probability Calculation

The Probability that a certain kind of component will survive a given shock test is 2/5. Find the probability that exactly three of the next five components tested will survive, using Binomial Distribution.

7. Calculation or Correlation Coefficient

A computer while calculating correlation coefficient between 25 pairs of two variables and x and y, obtained the following constants :
N=25 x = 125 x2 = 650 y = 100 y2 = 460 xy = 508
A recheck showed that the computer has occupied wrongly two pairs (6,14) and (8,6) of values of (x,y) instead of the correct values (8,12) and (6,8) respectively. Obtain the correct value of the correlation coefficient.