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Questions › JNU › JNU SIS 2015 › Q21
2 marks, −1Statistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsEasyabout 1 min

JNU SIS 2015 Question 21: Random variables and standard distributions

A continuous random variable XXX has the p.d.f., f(x)=3x2;0≤x≤1f(x) = 3x^2; 0 \le x \le 1f(x)=3x2;0≤x≤1. The value of a constant λ\lambdaλ that satisfies the relation Pr⁡{X≤λ}=Pr⁡{X>λ}\Pr\{X \le \lambda\} = \Pr\{X > \lambda\}Pr{X≤λ}=Pr{X>λ} is

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A continuous random variable X has the p.d.f., f(x) = 3x²; 0 ≤ x ≤ 1. The value of a constant λ that satisfies the relation Pr {X ≤ λ} = Pr {X > λ} is (A) (1/3)^(1/2) (B) (1/2)^(1/3) (C) (2/3)^(1/2) (D) (2/3)^(1/3)

Also written as: A continuous random variable X has the p.d.f., f(x) = 3x^2; 0 <= x <= 1. The value of a constant lambda that satisfies the relation Pr {X <= lambda} = Pr {X > lambda} 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.

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 JNU SIS 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.