Question

# Among​ first-year students enrolled in a​ two-year program at a trade​ school, the following was determined...

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​%

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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