Determining Student Performance from Incomplete Data - I

Use the following information:

A professor keeps data on students tabulated by performance and sex of the student . The data is kept on
a computer disk, but unfortunately some of it is lost because of a virus. Only the following could be
recovered :

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Panic buttons were pressed but to no avail. An expert committee was formed, which decided that the following facts were self evident:

• Half the students were either excellent or good.
• 40% of the students were females.
• One third of the male students were average.