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In: Statistics and Probability

In studies for a​ medication, 13 percent of patients gained weight as a side effect. Suppose...

In studies for a​ medication, 13 percent of patients gained weight as a side effect. Suppose 449 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

​(a) exactly 71 patients will gain weight as a side effect.

​(b) 71 or fewer patients will gain weight as a side effect.

​(c) 77 or more patients will gain weight as a side effect.

​(d) between 71and 80​, ​inclusive, will gain weight as a side effect.

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