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Questions › DSE › DSE 2018 › Q25
4 marks, −1Statistics › Random variables and standard distributions › Uniform distributionsModerateabout 2 min

DSE 2018 Question 25: Random variables and standard distributions

Suppose X1,…,XnX_1, \dots, X_nX1​,…,Xn​ are observed completion times of an experiment, each uniformly distributed on [0,1][0,1][0,1] and independent. If YYY is the maximum observed completion time, then the mean of YYY is

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

Also written as: Suppose X_1,..., X_n are observed completion times of an experiment, each uniformly distributed on [0,1] and independent. 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.

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Question from the DSE 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.