In a certain college, the probability that a randomly selected graduating student will enrol in an overseas university is \(0.3\).
From a randomly chosen graduating class of \(20\) students, find the probability that more than \(4\) students will enrol in an overseas university.
[2]
Given that the graduating batch consists of \(15\) classes of \(20\) students each, find the probability that there will be less than \(13\) classes in which at least \(5\) students in each class will enrol in an overseas university. [3]
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Class probability: \(0.762\).
Batch probability: \(0.728\).
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