a. Find (x) given

PART B

(4 Marks)

y(x)

1 1

40

85

Hence find y'(x) at x=O.5.

Evaluate — by (a) trapezoidal rule (b) Simpson one third rule.
a. Obtain a relation of the form y=ab * for the following data by method of

Marks)

least squares http:/e'mvvww.killonline.com
x | 2 3 4 | 5 | 6 |
| 8.3 15.4 | 33.1 | 65.2 | 127.4

b. Discuss the measures of correlation

{5 Marks)
(6

(3 Marks)

a. From the following table of half yearly premium for policies maturing at (5 Marks)
different ages estimate the premium for policies maturing at age 46 and

63.
Age x | 45 50 55 | 60 | 65
Premium 114.84 | 96.16 83.32 74.48 68.48

0. Findy'(x)and at x=51 from the following data
x | ० | 60 70 80 | | 90
| | 19.96 | 36.65 | 58.81 | 77.21 | 94.61

(4 Marks)