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Questions › DSE › DSE 2013 › Q50
2 marksStatistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsHardabout 3 min

DSE 2013 Question 50: Random variables and standard distributions

Suppose the distribution function F(x)F(x)F(x) of a random variable XXX is rising in the interval [a,b)[a,b)[a,b) and horizontal in the interval [b,c][b,c][b,c]. Which of the following statements CAN be correct?

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Suppose the distribution function F(x) of a random variable X is rising in the interval [a,b) and horizontal in the interval [b,c]. Which of the following statements CAN be correct? (A) F(x) is the distribution function of a continuous random variable X. (B) c is not the largest value that X can take. (C) The probability that X=b is strictly positive. (D) Any of the above.

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.

TestStop has 33 past-paper questions on this subtopic.

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

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Question from the DSE 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.