A student may take a test at most three times. Each attempt's score is an independent draw from the uniform distribution on . After seeing a score she may stop and accept it or discard it and retake; after the third attempt she must accept the third score. She maximises her expected official score. Following an optimal plan, her expected score before taking any test is approximately:
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A student may take a test at most three times. Each attempt's score is an independent draw from the uniform distribution on [0,100]. After seeing a score she may stop and accept it or discard it and retake; after the third attempt she must accept the third score. She maximises her expected official score. Following an optimal plan, her expected score before taking any test is approximately: (A) 30 (B) 50 (C) 70 (D) 90
Random variables and standard distributions has come up 173 times in 7 exams since 2005.
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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