Q2.(20\') In a certain business school, the ratio of the number of full-time stu

Question

Q2.(20') In a certain business school, the ratio of the number of full-time students to part-time students is 13:12. At the end of their studies, all the school's 950 students took a professional examination and 600 passed. It is known that percentage of the full-time students passing the examination was twice that of the part-time students. (a) Find the pass percentage of the full-time students. (b) A student chosen at random is found to have failed the examination. What is the probability that he was a part-time student?

Explanation / Answer

a) No of Full time students = (950/25)*13 = 494

No of Part time students = (950/25)*12 = 456

Full time students passed = (600/3)*2 = 400

Part time students passed = (600/3)*1 = 200

Pass Percentage = 400/494 = 80.97%

b) P( Part time student/Failed)

P( Passed) = 600/950

P( Part time and failed) = (456-200)/950 = 256/950

P( Part time student/Failed) = 256/600

= 0.4267

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