What do you understand by tax havens? Explain how they promote corruption in India.

ISS PREVIOUS YEAR 2016 PAPER-1 SET-A To compare the lifetimes of bulbs produced by two companies A and B, one bulb from each company was selected at random and their lifetimes were observed. Assume that the lifetimes follow exponential distributions with: Mean(A) = 1000 daysMean(B) = 800 days What is the probability that the bulb from company B fails before the bulb from company A? Options: (a) 4/9 (b) 5/9 (c) 25/81 (d) 25/41

ISS PREVIOUS YEAR 2016 PAPER-2 SOLUTION A company used three different methods to train its employees. The number of units of output produced by different employees trained by the three training methods are given below: Method A: 50, 45, 55, 44 Method B: 64, 48, 52, 56, 44 Method C: 46, 42, 48, 45, 57, 42 The estimate of the population variance on the basis of the variance among the sample means for the above methods is:

For a simple linear regression modely=β0+β1x+εy = \beta_0 + \beta_1 x + \varepsilony=β0​+β1​x+ε,consider the following statements where β^0\hat{\beta}_0β^​0​ and β^1\hat{\beta}_1β^​1​ are estimates of β0\beta_0β0​ and β1\beta_1β1​:

Let the random variable X have the distribution: P(X = 0) = P(X = 3) = p P(X = 1) = 1 − 3p P(X = 2) = p where 0 ≤ p ≤ 1/2 Find the maximum value of V(X).

Which of the following statements are correct about the generalized inverse of a matrix A? A generalized inverse of a matrix is defined as A A⁻ A = A A generalized inverse is not unique. A matrix to have a generalized inverse must be non-singular. A matrix to have a generalized inverse may be either a square matrix or a rectangular matrix. Select the correct answer using the code given below:

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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?

In the Gauss-Markov linear model, letŷ denote the vector of fitted values andê denote the vector of residuals. Consider the following statements: The components of ŷ are pairwise uncorrelated. The components of ê are pairwise uncorrelated.

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)

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

X₁ and X₂ are independent Poisson random variables such that: P(X₁ = 2) = P(X₁ = 1)P(X₂ = 2) = P(X₂ = 3) Find the variance of (X₁ − 2X₂).

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Topics Are Covered in ISS Coaching in New Delhi. Indian Statistical Service (ISS) examination is a highly specialized competitive exam conducted by the Union Public Service Commission. It is designed for candidates with strong backgrounds in statistics and mathematical analysis. To succeed in this exam, aspirants must master a wide range of statistical subjects along with applied topics used in government statistical systems.

ISS PREVIOUS YEAR PAPER-1 2016 SET A Q.NO.-1 Let (X, Y) be jointly distributed with density f(x, y) = e^(-y), for 0 < x < y < ∞ OR f(x, y) = 0, otherwise Consider the following statements: E(X) = 1 E(Y) = 2 E(XY) = 2 Which of the above are correct? (a) 1 and 2 only(b) 2 and 3 only(c) 1 and 3 only(d) 1, 2 and 3