The following table shows the profile, by the math section of the SAT Reasoning
ID: 3370528 • Letter: T
Question
The following table shows the profile, by the math section of the SAT Reasoning Test, of admitted students at UCLA for the Fall 2014 semester.
Determine the probability of the following event. HINT [Example 6.] (Round your answer to two decimal places.)
An applicant had a Math SAT below 500.
SAT Reasoning Test—Math Section 700–800 600–699 500–599 400–499 200–399 Total Admitted 8,398 3,517 1,410 358 9 13,692 Not admitted 16,599 18,363 13,119 6,714 1,652 56,447 Total applicants 24,997 21,880 14,529 7,072 1,661 70,139Explanation / Answer
Total number of applcants is 70,139 .
Let X = score of Math SAT scored by an applicant .
We have to find out Probability(X<=500) =( total number of students who scored below 500 / Total number of students appeared for the test)
= P(400<x<499) + P(200<X<399)
= (7,072/70,139) + (1,1661/70,139)
=0.1245
=0.12 ( two decimal places)
And it we want t find the probability of Y= an admitted student having score less than 500,
= P( Y<=500)
= P(400<Y<499) + P(200<Y<399)
= (358/13692) + (9/13692)
=0.0268
=0.03 ( two decimal places)
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