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Questions › DSE › DSE 2017 › Q35
2 marks, −0.666666666666667Statistics › Random variables and standard distributions › Geometric and hypergeometric distributionsModerateabout 3 min

DSE 2017 Question 35: Random variables and standard distributions

The weekly number of patients NNN satisfies P(N=n)=2−n−1P(N=n)=2^{-n-1}P(N=n)=2−n−1 for n≥0n\ge 0n≥0, independently across weeks. The probability that there are exactly seven patients during a two-week period is

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The weekly number of patients N satisfies P(N=n)=2⁻ⁿ⁻¹ for n≥ 0, independently across weeks. The probability that there are exactly seven patients during a two-week period is (A) 1/32 (B) 1/64 (C) 1/128 (D) 1/256

Also written as: The weekly number of patients N satisfies P(N=n)=2^(-n-1) for n>= 0, independently across weeks. The probability that there are exactly seven patients during a two-week period is

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

What this question tests

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

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Question from the DSE 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.