3. The distance achieved in a long jump competition by students at a school is normally
Students who achieve a distance greater than 4.3 metres receive a medal.
- Find the proportion of students who receive medals.
The school wishes to give a certificate of achievement or a medal to the \(80 \%\) of students who achieve a distance of at least \(d\) metres.
- Find the value of \(d\).
Of those who received medals, the \(\frac { 1 } { 3 }\) who jump the furthest will receive gold medals.
- Find the shortest distance, \(g\) metres, that must be achieved to receive a gold medal.
A journalist from the local newspaper interviews a randomly selected group of 3 medal winners.
- Find the exact probability that there is at least one gold medal winner in the group.
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Students who achieve a distance greater than 4.3 metres receive a medal. - Find the proportion of students who receive medals.
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