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In a large restaurant an average of 2 out of every 5 customers ask for water...

In a large restaurant an average of 2 out of every 5 customers ask for water with
their meal. A random sample of 20 independent customers is selected. Find the smallest value of α such that P (X > α) ≥ 0.9 where the random variable X represents the number of these customers who ask for water.

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