The following table shows the profile, by the math section of the Reasoning Test

Question

The following table shows the profile, by the math section of the Reasoning Test, of admitted students at uaAfor the Fall 2011 semester. SAT SAT Reasoning Test-Math Section 700-800 600-699 500-599 400-499 200-399 Total Admitted 6,611 3,981 1,388 Not admitted 6,622 8 12,373 otal applicants 13.23 13,876 9,890 4,974 1,363 36,725 17.057 11.278 5350 1,371 49,098 Determine the probability of the following event. (Round your answer to the nearest .01.) HINT [Example 6.1 An applicant had a Math SAT below 500.

Explanation / Answer

Question 1:

Probability that an applicant has a SAT score less than 500:

= Total number of applicants with that score/ Total number of applicants.

= (5359 + 1371 ) / 49098

= 0.14

Therefore 0.14 is the required probability here.

Question 2:

P( hispanic or latino ) = e = 0.27

P( white , not hispanic ) = d = 0.54

P( african american ) = a = 0.1

P ( Asian ) = b = 0.06

P( other ) = c = 0.03

Now the probability that the student is neither hispanic, Latino nor African American

= 1- P( hispanic or latino ) - P( african american )

= 1 - 0.27 - 0.1

= 0.63

Therefore 0.63 is the required probability here.

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