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Part CCSIR NET December 2023

Random variables, distributions, moments, MGF

Let X be a discrete random variable with support S = {−1, 0, 1} and P(X = 0) = 1/3. Then which of the following statements are true?

A.E(X) ≤ 2/3
B. $E (X^{2}) = 2/3$
C.E(|X|) = 2/3
D.Var(X) > 2/3

The answer and working come with the PYQ pack.

68 questions are solved free — try those first.

Related counterexample: Uncorrelated ⇒ independent

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From Probability › Random variables, distributions, moments, MGF

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