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A student has the opportunity to take a test at most thrice. The student knows that each time he takes the test, his score is independent random draw from uniform distribution on interval [0,100]. After learning his score on a test, the student can either stop and accept it as his official score , or he can discard the result and retake the test. If the student rejects his score twice and takes the test third time, that score will be his official score. If his objective is to maximise his expected official score, the student will decide to be retested after the very first test if and only if his score is less than a)50)62.5 c)87.5
i know the answer is 62.5...can somebody help with the working
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