30.
31.

32.

33.

34.

35.

36.

4 0 ತ

Calculate age specific death rate for the following population :

Age : 0-10 11-24 25-40 41 ೩೧೮ ೦೪೮೯
Population | 1800 4500 7000 800
No. of deaths : 30 20 25 15

Explain age specific fertility rate and total fertility rate.

Define random experiment. Write down the sample space of the random experiment of tossing of
three unbiased coins.

Given P(A)=0.6, P(B)=0.4,P(AUB)=0.7. Find (i) P(A/B) ;(ii) (455) ; P(AS/B®).

(6 x 5 = 30 marks)
Part D (Essay Questions)

Answer any two questions.

Determine the maximum and minimum value of the function f (x)=x° - 6x? + 9x - 5.

Calculate (i) Laspeyre’s index number ; (ii) Paasche’s index number using the following data :

Commodity
Quantity (qo) Quantity (q,)

D
Calculate crude death rate and standardized death rate using the following data :
Age ` १ 0-10 11-24 25-40 41-60 61 and over
Population ச 21000 30000 37000 17000 5000
No. of deaths $ 350 102 229 354 415

Std. age distribution/1000
221 298 285 149 47

An insurance company insured 3000 scooter drivers, 2000 car drivers and 5000 truck drivers. The
probability of accident by the drivers of these types of vehicles is 0.04, 0.02 and 0.03 respectively.

One of the insured people meets an accident, What is the probability that he is a truck driver ?
(2 x 12 = 24 marks)