School board officials are debating whether to require all high school seniors to take a proficiency exam before graduating A student passing all three parts (mathematics, language skills, and general knowledge) would be awarded a diploma otherwise, he or she would receive only a certificate of attendance A practice test given to this years ninety five hundred seniors resulted in the following numbers of failures If Student fails mathematics, Student fails language skills, and Student fails general knowledge are independent events, what proportion of next years seniors can be expected to fail to qualify for a diploma Does independence seem a reasonable assumption in this situation Subject Area Number of Students Failing Mathematics Language skills General knowledge 3325 1900 1425

Question: School board officials are debating whether to require all high school seniors to take a proficiency exam before graduating. A student passing all three parts

School board officials are debating whether to require all high school seniors to take a proficiency exam before graduating. A student passing all three parts (mathematics, language skills, and general knowledge) would be awarded a diploma; otherwise, he or she would receive only a certificate of attendance. A practice test given to this year€™s ninety-five hundred seniors resulted in the following numbers of failures:

If €œStudent fails mathematics,€ €œStudent fails language skills,€ and €œStudent fails general knowledge€ are independent events, what proportion of next year€™s seniors can be expected to fail to qualify for a diploma? Does independence seem a reasonable assumption in this situation?

Subject Area Number of Students Failing Mathematics Language skills General knowledge 3325 1900 1425

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