DSE 2011 QUES NO. 40

[sunny2009]

a student has d opportunity to take a test at most thrice.the student  knows that each time he takes d test,his score is an independent random draw from the uniform distribution on the 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 d result n retake d test.if d student rejects his score twice and takes d test a 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 restested after the very first test if and only if his score is less than....
a. 50
b. 62.5
c. 75
d. 87.5
plzzzzzzzzz explain in detail....!!!

[vaibhavR]

can someone throw some light on this one !!!

[Khagesh]

Here:

http://discussion-forum.2150183.n2.nabble.com/uniform-distribution-td7343364.html

though if u get wat d solution is, plz do elaborate it here!!!

[sunny2009]

thank u so much khagesh..... it is really difficult to understand d solution for me

[rituvv]

yes even i dint understand the solution....
amit sir pls explain this once more...pls

[Amit Goyal]

Solve the attached problem.
June19__Expectation.png