A Poisson random variable X has mean equal to 1/2. Let Y = 2X. Consider the following: E(Y) = 1 Var(Y) = 4 μ3(Y) = 4 μ4(Y) = 28 Which of the above is/are correct?

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ISS PREVIOUS YEAR GS 2016 Q.NO. 5 What does Yoga represent in Indian philosophical tradition? Is it the same as that practised by the masses in the present day?

For the distribution: f(x) = [1 / B(p, q)] × [x^(p − 1) / (1 + x)^(p + q)],where 0 < x < ∞, p > 0, q > 0, find the harmonic mean. Options: (a) p / (p + q) (b) 1 / p (c) (p − 1) / q (d) (p + 1) / (q − 1)

The division of India into provinces and the evolution of a system of provincial administration by Akbar was an effective system of governance. Comment.

A certain task can be accomplished in a factory by four different workers on five different types of machines. A sample study in context of a two-way design without repeated value is being made with two fold objectives of examining whether the four workers differ with respect to mean productivity and whether it is same for five machines. The researcher involved in this study reports gathered data as under : Sum of squares for variance between machines = 35.2 Sum of squares

(Indian Statistical Service) ISS PREVIOUS YEAR QUESTION PAPERS Indian Statistical Service (ISS) Previous Year Question Papers & Answer Keys – Year-

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Discuss the role of intellectuals in giving shape to the nationalism in India during the freedom struggle.

Let y = (y1, y2, …, yn)' be the vector of these variables. Suppose y' A y is a quadratic form where A is an idempotent matrix. What will be the distribution of y' A y?

Let X have a Bernoulli distribution with mean 0.4. What is the variance of (2X − 3)? Options: (a) 0.24(b) 0.48(c) 0.60(d) 0.96

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