Question

Among first-year students enrolled in a two-year program at a trade school, the following was determined to be true: 65% would successfully complete the year and go on to the second year;

25% would repeat the year; and 10% would drop out of the program. Among the second-year students, 85% would successfully complete the year and graduate; 9% would repeat the year; and 6% would drop out of the program. In the long run, what percentage of the second-year students will drop out of the program? Round your answer to the nearest whole number.

A.

11%

B.

7%

C.

1%

D.

16%

Answer #1

From the students in second year, approved the year and will repeat the year after the first try. From these last , will approve in the second try and will try again. If we repeat the process and add them all, in total we would have

percentage of approved.

We calculate the value using that it is a geometric series,

Hence, the people who drop out in second year is

.

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