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 › DSE › DSE 2010 › Q42
2 marksStatistics › Random variables and standard distributions › Uniform distributionsModerateabout 3 min

DSE 2010 Question 42: Random variables and standard distributions

Suppose X1,…,XnX_{1},\ldots,X_{n}X1​,…,Xn​ are observed completion times uniformly distributed on [0,1][0,1][0,1]. If YYY is the maximum observed completion time, then the mean of YYY is

Tap an option to check your answer.

Answer and worked solution

Checking your account…

Plain-text version

Suppose X₁,…,Xₙ are observed completion times uniformly distributed on [0,1]. If Y is the maximum observed completion time, then the mean of Y is (A) [n/(n+1)]² (B) n/2(n+1) (C) n/(n+1) (D) 2n/(n+1)

Also written as: Suppose X_1,...,X_n are observed completion times uniformly distributed on [0,1]. If Y is the maximum observed completion time, then the mean of Y is

Random variables and standard distributions has come up 173 times in 7 exams since 2005.

What this question tests

This question is on Uniform distributions, part of Random variables and standard distributions in Statistics.

Equally likely outcomes over a finite set or an interval.

TestStop has 14 past-paper questions on this subtopic; the nearest in year are below.

  • GATE 2023 · Q62Let X be a random variable with the probability density function f(x) such that f(x) = { 1/2√3 if -√3 < x <…
Practise Random variables and standard distributionsMore on Uniform distributions

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 DSE 2010 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.