\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(Z\) be a random variable following the binomial distribution with parameters \(n = 80\) and \(p = 0.75\).
Determine the largest integer \(k\) such that \(P(Z \geq k) > 0.95\).
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