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

Explain the reasons for political turmoil among middle-level castes in recent times seeking OBC reservations 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:

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?

Preparing for competitive exams like Indian Statistical Service (ISS) requires dedication, the right strategy, and expert guidance. With the advancement of digital learning, students can now prepare effectively from the comfort of their homes. ISS Online Recording Classes provide a flexible and result-oriented approach to mastering statistics.

In a data-driven world, reliable and authentic data plays a crucial role in policy-making, research, and economic planning. India has a well-structured statistical system supported by various government institutions that generate official data across sectors like population, economy, labor , and development.

 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.

Let XXX be a random variable with probability generating functionP(s)=∑kpkskP(s) = \sum_{k} p_k s^kP(s)=∑k​pk​sk. Find the probability generating function of Y=2XY = 2XY=2X.

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).

What is Polar Shifting? Discuss its geographic significance with regard to catastrophic consequences on humanity.