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Questions › DSE › DSE 2017 › Q34
2 marks, −0.666666666666667Statistics › Random variables and standard distributions › Uniform distributionsEasyabout 2 min

DSE 2017 Question 34: Random variables and standard distributions

Suppose nnn students solve a problem starting at time 000; the completion time of student iii is Ti≥0T_i\ge 0Ti​≥0, each uniformly distributed on [0,1][0,1][0,1]. If Y=max⁡{T1,…,Tn}Y=\max\{T_1,\dots,T_n\}Y=max{T1​,…,Tn​}, then the mean of YYY is

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Suppose n students solve a problem starting at time 0; the completion time of student i is Tᵢ≥ 0, each uniformly distributed on [0,1]. If Y=max {T₁,…,Tₙ}, 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 n students solve a problem starting at time 0; the completion time of student i is T_i>= 0, each uniformly distributed on [0,1]. If Y=max {T_1,...,T_n}, 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 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.