Problem D

Another Average Quiz

On a recent quiz about averages, the following information is known:

There were three questions on the quiz.

Each question was worth \(1\) mark.

Each question was marked either right or wrong (no part marks).

\(50\%\) of the students got all \(3\) questions correct.

\(5\%\) of the students got no question correct.

The class average mark was \(2.3\) out of \(3\).

Determine the percentage of students who got exactly \(1\) question correct and the percentage of students who got exactly \(2\) questions correct.