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Questions › JNU › JNU SIS 2011 › Q9
4 marks, −1Statistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsEasyabout 2 min

JNU SIS 2011 Question 9: Random variables and standard distributions

The probability density function of a random variable xxx is given as 1x2\frac{1}{x^2}x21​, where 1<x<∞1 < x < \infty1<x<∞. If the set A={x; 1<x<2}A = \{x;\ 1 < x < 2\}A={x; 1<x<2} and the set B={x; 4<x<5}B = \{x;\ 4 < x < 5\}B={x; 4<x<5}, the probability A∪BA \cup BA∪B is

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The probability density function of a random variable x is given as 1/x², where 1 < x < ∞. If the set A = {x; 1 < x < 2} and the set B = {x; 4 < x < 5}, the probability A ∪ B is (A) 1/20 (B) 9/20 (C) 0 (D) 11/20

Also written as: The probability density function of a random variable x is given as 1/x^2, where 1 < x < inf. If the set A = {x; 1 < x < 2} and the set B = {x; 4 < x < 5}, the probability A union B is

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 JNU SIS 2011 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.