Skip to content
We use only essential cookies to keep you signed in and remember your preferences. See our Cookie Policy.
TestStop
MocksPracticeResourcesIndiaBlogPricing
Sign in
Questions › JNU › JNU SIS 2020 › Q17
0 marksStatistics › Random variables and standard distributions › Random variables, PMFs, PDFs and CDFsModerateabout 2 min

JNU SIS 2020 Question 17: Random variables and standard distributions

The probability density function of a random variable X is given by f(x)=α(1−x)α−1f(x) = \alpha(1 - x)^{\alpha - 1}f(x)=α(1−x)α−1 where x is in the range [0, 1] and α>0\alpha > 0α>0. Then the median of X is :

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

The probability density function of a random variable X is given by f(x) = α(1 - x)^(α - 1) where x is in the range [0, 1] and α > 0. Then the median of X is: (A) 2^(-1/α) (B) 1 - 2^(-1/α) (C) 1/2 (D) 1/2^α

Also written as: The probability density function of a random variable X is given by f(x) = alpha(1 - x)^(alpha - 1) where x is in the range [0, 1] and alpha > 0. Then the median of X 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

Similar questions from other papers

  • CUET-PG 2026 · Q35Given below are two statements: Assertion A: A random variable is a numerical description of the outcome of an experiment. Reason R: The particular numerical value of a…
  • GATE 2026 · Q41Suppose, a random variable X follows a Poisson distribution with parameter λ=25. The coefficient of variation of the distribution is (rounded off to two decimal places)
  • IIT JAM 2026 · Q42It is given that Prob(-1≤ z≤ 1)=0.683, Prob(-2≤ z≤ 2)=0.954, and Prob(-3≤ z≤ 3)=0.997, when z follows a standard normal distribution. If X follows a normal distribution…
  • CUET-PG 2025 · Q20Suppose that the random variable X takes on the values: -1, 0, and 2 with probability 1/8, 1/2 and 3/8. Find the expected value of X.
  • GATE 2025 · Q41If X is a continuous random variable whose probability density function is given by f_X(x) = { 1/x² for 1 < x < ∞; 0 elsewhere } Then the median of X is (in integer)

Question from the JNU SIS 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.