DSE 2011 Probability/Uniform Distribution

[knowpraveen]

Kindly help, anyone. Thanks in advance.

[varnika1880]

Expected score in 3rd test will be 50 ...the mean value ....while giving the test 2,time he will accept any score in the range 50-100 (expected value is 75) thus if he score so he won't apply for the third one ...now the expected value of 2,test is 75 ...the person while writing first test would accept atleast 75 marks to stop applying for the second time ...thus 75

[knowpraveen]

Thanks for that. xD

Though this is right, I was hoping you could provide a mathematical answer to this. Do you have any idea?