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In studies for a​ medication, 12 percent of patients gained weight as a side effect. Suppose...

In studies for a​ medication, 12 percent of patients gained weight as a side effect. Suppose 411 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 50 patients will gain weight as a side effect.

​(b) no more than 50 patients will gain weight as a side effect.

​(c) at least 58 patients will gain weight as a side effect. What does this result​ suggest?

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