If the moment generating function (m.g.f.) of a random variable X is M_x(t ) exp (3t 32t² ). Find mean and standard derivation of X and also compute P(x < ).3

Write a detailed note on vector born diseases with suitable examples

Draw a neat and labelled illustration of basic units of computer

Make a table showing the recommended dietary allowances, balanced diet and the major nutrients of food.

Describe the various renewable resources of energy that have the potential to fulfil the needs of the society

Explain the Theory of Chemical Evolution on scientific basis.

Analyse the factors that impeded the growth of Science in India in the medieval times.

Distinguish between infectious and non-infectious diseases. Discuss briefly how the infectious diseases travel from one person to another.

B) What goals need to be set for the management of water resources? How water can be managed in a scientific manner?

A) Why is it important to pursue the policy of self-reliance for the progress of science and technology and for the development of the nation?

Explain the role of scientific knowledge in agriculture with respect to arid zones, dry lands and hills

B) Discuss briefly some developments in astronomy during Gupta period

A) What were the main features of the social organization in the Gupta Empire that led to a great improvement in Science and Technology?

A,B and C are three events. Express the following events in set notations.

(i) Simultaneous occurrence of A,B and C.

(ii) Occurrence of at least one of them.

(iii) Both A and B occur and C does not occur.

(iv) The event B but not A occurs.

(v) Not more than one of the events A,B and C occur.

 (a) Poisson distribution is a limiting case of binomial distribution for and 

(b) For two independent events A and B, if P(A) = 2.0 and P(B) = ,4.0 then (A ∩ B) = 0.6.

(c) If H₀ : P ≤ 6.0 and X ~ B(n, p)n -known and p unknown and H₁ :µ = µ₀ where X ~ N  (µ,σ² )σ² unknown, then H₀ and H₁ are simple null hypothesis.

(d) Frequency density of a class for any distribution is the ration of total frequency to class width.

(e) If X and Y are independent r.v.s with M_X (t) and M_y (t) as their m.gf’s respectively, then M_x+y (t) M_x (t)M_y (t).

What is ‘health management information system’ (HMIS). Discuss its structure and function.

How poverty is related to health and development. Explain major challenges of poor health.

Describe structure and function of Primary Health Care (PHC) system in India

What is venereal disease? Describe common venereal diseases in India

Define the concept of health. what are major issues and challenges of health and ongoing development