What percentage of the class is female

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A professor is studying the performance of various student groups in his class. Let the random variable X represent a students final score in the class and define the following conditioning events

  • F = {student is a freshman}
  • So = {student is a sophomore}
  • J = {student is a junior}
  • Se = {student is a senior}
  • M = {student is a male}
  • F = {student is a female}

(a) Suppose the average score among males is E[X|M]= 73.2 and the average score among females is E[X|F] = 75.8 . If the overall class average score is E [X| F] = 74.6 , what percentage of the class is female?

Reference no: EM131214988

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