May 9th, 2008Intelligent Systems
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.
