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Questions › DSE › DSE 2021 › Q5
4 marks, −1Statistics › Probability and Bayes' theorem › Expectation by indicator variablesEasyabout 1 min

DSE 2021 Question 5: Probability and Bayes' theorem

Suppose that nnn participants with distinct names arrive for a conference. The organizers have prepared name-tags for all of them, but by mistake allocate the name-tags randomly to the participants. What is the expected number of participants who will receive their own name-tag?

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Suppose that n participants with distinct names arrive for a conference. The organizers have prepared name-tags for all of them, but by mistake allocate the name-tags randomly to the participants. What is the expected number of participants who will receive their own name-tag? (A) n/2 (B) n/(n-2) (C) 1 (D) (n-1)/n

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Expectation by indicator variables, part of Probability and Bayes' theorem in Statistics.

Finding expected counts by adding up simple 0-1 variables.

TestStop has 4 past-paper questions on this subtopic.

Practise Probability and Bayes' theoremMore on Expectation by indicator variables

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Question from the DSE 2021 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.