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

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

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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iss previous year solution paper-2 q.no.1

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