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Questions › DSE › DSE 2017 › Q32
2 marks, −0.666666666666667Statistics › Random variables and standard distributions › Expectation and varianceHardabout 4 min

DSE 2017 Question 32: Random variables and standard distributions

A tour operator's bus seats 202020; he sells 212121 tickets because tourists may not show. Each tourist independently fails to show with probability 0.020.020.02. Each ticket costs 505050 (non-refundable). If a tourist shows up and no seat is available, the operator pays that tourist 100100100. The expected revenue of the operator is

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A tour operator's bus seats 20; he sells 21 tickets because tourists may not show. Each tourist independently fails to show with probability 0.02. Each ticket costs 50 (non-refundable). If a tourist shows up and no seat is available, the operator pays that tourist 100. The expected revenue of the operator is (A) 950 (B) 967 (C) 976 (D) 985

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

What this question tests

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

The mean and spread of a random variable, and how they change under transformations and sums.

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