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?

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​ ?

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

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:

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?

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 Indian Statistical Service (ISS) exam is a highly specialized and competitive examination that demands strong conceptual clarity and consistent practice. Many aspirants often ask: “How should I study daily?” “What routine should I follow to crack ISS?”

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

ISS PREVIOUS YEAR PAPER-1 2016 SOLUTION. The following data pertain to a test involving analysis of variance: Estimate of population variance based on variance among the sample means = 18.50. Estimate of the population variance based on the variance within the samples = 12.50 The F-ratio for the sample is equal to: Options:(a) 0.68(b) 1.48(c) 6.00(d) 31.00

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).

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

If in 6 trials, X is a binomial variate which follows the relation 9 P(X = 4) = P(X = 2) then what is the probability of success? Options:(a) 1/8 (b) 1/4 (c) 3/8 (d) 3

INDIAN STATISTICAL SERVICE(ISS) SYLLABUS

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