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Questions › DSE › DSE 2006 › Q34
2 marksStatistics › Random variables and standard distributions › Expectation and varianceModerateabout 2 min

DSE 2006 Question 34: Random variables and standard distributions

Consider collecting a random sample that has two observations, from a population that is normally distributed with mean μ\muμ and variance 161616. The variance associated with the distribution of twice the difference between these two observations equals

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Consider collecting a random sample that has two observations, from a population that is normally distributed with mean μ and variance 16. The variance associated with the distribution of twice the difference between these two observations equals (A) 64 (B) 128 (C) 32√2 (D) 64√2

Also written as: Consider collecting a random sample that has two observations, from a population that is normally distributed with mean mu and variance 16. The variance associated with the distribution of twice the difference between these two observations equals

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.

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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.