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Questions › DSE › DSE 2012 › Q17
1 markStatistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsModerateabout 2 min

DSE 2012 Question 17: Random variables and standard distributions

The cumulative distribution function F(x)F(x)F(x) of a random variable has a slope of 1 for xxx in the interval [0,1][0,1][0,1] and takes a constant value thereafter. Which of the following statements most accurately defines the probability density function of XXX?

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The cumulative distribution function F(x) of a random variable has a slope of 1 for x in the interval [0,1] and takes a constant value thereafter. Which of the following statements most accurately defines the probability density function of X? (A) It is zero in the interval [0,1] and 1 for all higher values of x (B) It is 1 in the interval [0,1] and zero for all higher values of x (C) It is increasing in the interval [0,1] and constant and positive for all higher values of x (D) It is increasing in the interval [0,1] and zero for all higher values of x

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

What this question tests

This question is on Random variables, PMFs, PDFs and CDFs, part of Random variables and standard distributions in Statistics.

Describing a random variable by its mass, density or distribution function.

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Practise Random variables and standard distributionsMore on Random variables, PMFs, PDFs and CDFs

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Question from the DSE 2012 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.