University:
Swansea University
Course:
MA-252 | Probability Theory
Academic year:

2023
Views:

436

Pages:

4
Author:

Amal J.

-Q. The Population of a town is given asfollows. Estimate the Population for theyear 1955 no x, x2 x3year1931194119511961Population668/0793101(In lakhs)toUsing Newton's Backward formula.2y(p)= ynt po yn + P(P+1) Tyn2 !TP(P,TD (p+2) 3yn3!P= x-xihHPO0FPh= 10P= 1957 5. - 1961=0 -0.610101 Q. The Population of a town is given asfollows. Estimate the Population for theyear 1955 no x1 x2 x3year1931194119511961Population6681093101(In lakhs)Using Newton's Backward formula.y(p)= yn + pvyn + P(P+1) T Tyn2 !TP(P,+1) (P+2) 3yn3!P=x-xihh= 10P= 195?1961of 0.610SEN-101 F&Px y vyvy43y1931 66151941 81-3-11951 93 12-41961 101INCy(-0.6) =12.1121110.1 TONTO.6.888101of 0.6 ( - -006-1-X-42alamy to- 0.6 ( - 0.6+1) (-0.6+2).+9)9 aff6=of 96.2 + 0.41618= 97.096I0118-1-0.61101 - 4.8 + 10929678 Q. Find y(5) from the given datanox,10x1/3x2gas8xyI313128y(5)= (5-1)(5-3) (5-8) XL70-1) (0-3) 10-8)+(5 - 0 ) (5 - 3) (5-8) X3(1- 0) D ( 1 - 3) (-1-8)+ (5-0)(5-1) (5-8) X 13(3-0) (3-$) (3-8)+ (5-0 ) (5-1) (5-3) X 128(8-0) (8-1) (8-3)24+ - 90 + = - 780-2414 - - 30+ 5120=I - 6.4285 + 26 + 18.2867= 38.85