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 y = (y1, y2, …, yn)' be the vector of these variables. Suppose y' A y is a quadratic form where A is an idempotent matrix. What will be the distribution of y' A y?

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

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