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

ISS PREVIOUS YEAR 2016 PAPER-1 SET-A The lifetime of a bulb follows an exponential distribution with mean 100 hours. The bulb is switched on for exactly 4 hours every day and remains switched off for the remaining time. What is the probability that the bulb stops working on or before the 25th day? Options: (a) (1 − e⁻¹) / (1 − e⁻¹⁄²⁵) (b) 1 − e⁻¹⁄²⁵ (c) 1 − e⁻¹ (d) e⁻¹

ISS PREVIOUS YEAR 2016 PAPER-2 SOLUTION SET-A 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, 44Method B: 64, 48, 52, 56, 44Method C: 46, 42, 48, 45, 57, 42 The estimate of the population variance within the samples for the different methods is: (a) 25.67 (b) 31.07 (c) 38.646 (d) 39.097

What are the differences between Himalayan rivers and Peninsular rivers? Discuss.

ISS PREVIOUS YEAR 2016 PAPER-2 SOLUTION SET-A

ISS PREVIOUS YEAR 2016 PAPER-1 SET-A 10 balls are placed in 10 boxes independently and uniformly at random. Initially, all boxes are empty. What is the expected number of boxes that remain empty?

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Changing Scenario of Pulses Cultivation and Production in India

Which of the following statements are correct in order to obtain the hypothesis H0:β1=0H_0: \beta_1 = 0H0​:β1​=0 for the modelyi=β0+β1xi+εiy_i = \beta_0 + \beta_1 x_i + \varepsilon_iyi​=β0​+β1​xi​+εi​ ?

A simple random sample of size 10 is selected with replacement from a population of size 100. What is the expected number of unique elements in the sample? Options:(a) 100 × (99/100)¹⁰(b) 100 × [1 − (99/100)¹⁰](c) 100 × (9/10)¹⁰(d) 100 × (1 − 99/100)¹⁰

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​:

Discuss the impact of Information Technology in the Industrial Revolution of India.

Question:Which of the following statements are associated with residuals of a regression model? The sum of the residuals in any regression model that contains an intercept is always zero. The sum of the observed values yiy_iyi​ is not equal to the sum of the fitted values y^i\hat{y}_iy^​i​. The sum of the residuals weighted by the corresponding regressor variable is zero. The sum of the residuals weighted by the corresponding fitted values is zero. Select the c

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:

ISS PREVIOUS YEAR 2016 PAPER-2 SOLUTION SET-A ISS PREVIOUS YEAR 2016 PAPER-2 SOLUTION SET-A Random Effects Model Question (ISS Level) Question Suppose b₁, b₂, b₃, …, bₙ are independent N(0, σ²) random variables and eᵢⱼ are independent N(0, τ²) random variables for i = 1, 2, 3, …, k and j = 1, 2, 3, …, n. Suppose we observe only: Xᵢⱼ = bᵢ + eᵢⱼ for i = 1, 2, 3, …, k and j = 1, 2, 3, …, n. Then which of the following assertions are true? Var(Xᵢⱼ) = σ² + τ² for all i, j Cov(Xᵢ

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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?

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.