The accompanying data were obtained from the financial aid office of a certain u

Q: The accompanying data were obtained from the financial aid office of a certain u

Ans P(A)=P(undergraduate)=8118/10728=0.757 P(B)=P(financial aid)=6101/10728=0.569 P(A and B)=4224/10728=0.394 P(B/A)=P(A and B)/P(A)=4224/8118=0.520 P(B and Ac)=P(B)-P(A and B)=0.569-0.394=0.175 P(B/Ac)=P(B and Ac)/P(Ac)=0.175/(1-0.757)=0.720

ID: 3067418 • Letter: T

Question

The accompanying data were obtained from the financial aid office of a certain university.

Let A be the event that a student selected at random from this university is an undergraduate student, and let B be the event that a student selected at random is receiving financial aid.

(a) Find each of the following probabilities. (Round your answers to three decimal places.)

Receiving
Financial
Aid Not
Receiving
Financial
Aid Total Undergraduates 4,224 3,894 8,118 Graduates 1,877 733 2,610 Total 6,101 4,627 10,728

Explanation / Answer

Ans

P(A)=P(undergraduate)=8118/10728=0.757

P(B)=P(financial aid)=6101/10728=0.569

P(A and B)=4224/10728=0.394

P(B/A)=P(A and B)/P(A)=4224/8118=0.520

P(B and Ac)=P(B)-P(A and B)=0.569-0.394=0.175

P(B/Ac)=P(B and Ac)/P(Ac)=0.175/(1-0.757)=0.720

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The accompanying data were obtained from the financial aid office of a certain u

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