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28. `
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38.

What are the sources of vital statistics ?
Define specific death rate.

Define sex ratio.

Define sample space.

Define equally likely events.

An unbiased die is thrown two independent times. Given that the first throw resulted in an odg
number. Find the probability that the sum obtained is 6.

(10 ८ 2 = 20 marks)
Part C (Short Essay Questions)
Answer any six questions.

Differentia (3x + 1) ५

rentiate ಕಶ್ಟ್‌ with respect to x.
36 ~~

Find the maximum profit that a company can make, if the profit function is given by
p (x) = 40 — 20x - 12 2,
The revenue function is R = 14x — x? and the cost function is T = x (x2 — 2). Find the marginal
functions.
What are the properties to be satisfied by an index number ? Verify that Fisher’s index number
satisfies the properties.
Explain about vital statistics and vital records.
Distinguish between NRR and GRR. |

Describe the terms mutually exclusive events and independence of events. Give examples for each
of them.

If a card is drawn from a pack of playing cards, then find the probability of getting a (i) spade,
(ii) king or queen.
(6 x 5 = 30 marks)
Part D (Essay Questions)
Answer any two questions.

Given a firms demand function x — 90 + 2p and its cost function AC = x3 — 8 x? + 57x + 2. Find the
level of output which (i) maximizes total revenue, (ii) minimizes marginal costs ; and (iii) maximizes
profit.

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