PROBABILITY AND STATISTICS Assignment-3
Assignment Content Question 1 2 Points Fit the parabola is Y=a X^2+bX+c for the data x: 1, 3, 4 , 6 ,8 ,9, 11, 14 and y: 1,2, 4, 4, 5, 7, 8, 9. Question 2 2 Points A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n=25, ∑ X= 125, ∑ X^2=650, ∑ Y=100, ∑ Y^2= 460, ∑ XY =508. If was, however, later discovered at the time of checking that he had copied down two pairs as (X,Y)= (6,14),(8,6) while the correct values were (X,Y)=(8,12),(6,8). Obtain the correct value of correlation co-efficient. Question 3 2 Points By using least square principle for fitting, fit straight line for the data X: 0,1,2,3,4 and Y: 1.0, 2.9, 4.8, 6.7, 8.6 Question 4 2 Points A manufacturer claims that only 4% of his products supplied by him are defective. A random sample of 600 products contains 36 defectives. Test the claim of the manufacturer. Question 5 2 Points 12 entries in a painting competitio...