Question: Let Yn be a Binomial(n, 0.30) random variable on n trials and success probability 0.30. Find the smallest n such that P(Yn 2) > 0.80

Let Yn be a Binomial(n, 0.30) random variable on n trials and "success" probability 0.30. Find the smallest n such that P(Yn 2) > 0.80 by evaluating the left hand side of the inequality for different values of n. You must give complete details showing how you arrived at your answer.

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