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Questions › JNU › JNU SIS 2013 › Q12
4 marks, −1Statistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsModerateabout 3 min

JNU SIS 2013 Question 12: Random variables and standard distributions

The probability density function of a continuous random variable is given as f(x)={x,0≤x<12−x,1≤x<2f(x) = \begin{cases} x, & 0 \le x < 1 \\ 2 - x, & 1 \le x < 2 \end{cases}f(x)={x,2−x,​0≤x<11≤x<2​ Then the probability of p(13≤x≤53)p\left(\dfrac{1}{3} \le x \le \dfrac{5}{3}\right)p(31​≤x≤35​) and p(x≥1)p(x \ge 1)p(x≥1) are

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The probability density function of a continuous random variable is given as f(x) = { x, 0 ≤ x < 1; 2 - x, 1 ≤ x < 2 } Then the probability of p(1/3 ≤ x ≤ 5/3) and p(x ≥ 1) are (A) 7/18; 0 (B) 8/9; 1 (C) 8/9; 1/2 (D) 5/9; 1/2

Also written as: The probability density function of a continuous random variable is given as f(x) = { x, 0 <= x < 1; 2 - x, 1 <= x < 2 } Then the probability of p(1/3 <= x <= 5/3) and p(x >= 1) are

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