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Last year at Townsburg High School, 28% of the graduating seniors took the ACT exam, 34% of the graduating seniors took the SAT exam, and 12% of graduating seniors too both exams.Find the proportion of students that took at least one of the two exams.Give an exact answer.

Question

Last year at Townsburg High School, 28% of the graduating seniors took the ACT exam, 34% of the graduating seniors took the SAT exam, and 12% of graduating seniors too both exams.

Find the proportion of students that took at least one of the two exams.

Give an exact answer.

 
check_circleAnswer
Step 1

It is given that the proportion of the graduating seniors took the ACT exam is 0.28, the proportion of graduating seniors took the SAT exam is 0.34 and the proportion of graduating seniors took both exams is 0.12.

Step 2

The proportion of students that took at least one...

P(Student that took at least one of the two exams) = 1- P(No
one took ACT exam) P(No one took SAT exam
-1-(1-0.28) (1-0.34)
=1- (0.72) (0.66)
0.5248
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P(Student that took at least one of the two exams) = 1- P(No one took ACT exam) P(No one took SAT exam -1-(1-0.28) (1-0.34) =1- (0.72) (0.66) 0.5248

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