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In a high school, \(237\) students have reserved a meal at the canteen. Statistics show that when a student has reserved, \(7\,\pourcent\) of the time they do not actually eat at the canteen.
The canteen staff, wishing to avoid food waste, wants to know the minimum number \(k\) of meals to prepare while remaining at least \(95\,\pourcent\) certain that all students who show up will have a meal. Determine \(k\).
Find the value of \(k\) if the staff wants the risk of some students not having a meal to be less than \(1\,\pourcent\).
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