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Questions › UGC-NET › UGC-NET 2025 › Q75
2 marksStatistics › Random variables and standard distributions › Expectation and varianceHardabout 2 min

UGC-NET 2025 Question 75: Random variables and standard distributions

By using the uniqueness property of the moment generating function (MGF), which of the following are correct distributions if the MGF is as follows?

A. M(t) = (1/4 + (3/4)e^t)^6 is a binomial distribution.

B. M(t) = e^{2(e^t - 1)} is a Poisson distribution.

C. M(t) = e^{3(e^t - 1)} is a Poisson distribution.

D. M(t) = e^{4(e^t - 1)} is a Poisson distribution.

E. M(t) = 4(e^t - 1) is a binomial distribution.

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Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on Expectation and variance, part of Random variables and standard distributions in Statistics.

The mean and spread of a random variable, and how they change under transformations and sums.

TestStop has 50 past-paper questions on this subtopic; the nearest in year are below.

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Question from the UGC-NET 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.