\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider a random variable \(X\) that follows the binomial distribution with parameters \(n = 50\) and \(p = 0.45\).
Determine the smallest integer \(k\) such that \(P(X \leq k) \geq 0.95\).
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