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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 492 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that ​(a) exactly 49 patients will gain weight as a side effect. ​(b) 49 or fewer patients will gain weight as a side effect. ​(c) 76 or more patients will gain weight as a side effect. ​(d) between 49 and 75​, ​inclusive, will gain weight as a side effect. ​(a) ​P(Xequals49​)equals nothing ​(Round to four decimal places as​ needed) ​(b) ​P(Xless than or equals49​)equals nothing ​(Round to four decimal places as​ needed) ​(c) ​P(Xgreater than or equals76​)equals nothing ​(Round to four decimal places as​ needed) ​(d) ​P(49less than or equalsXless than or equals75​)equals nothing ​(Round to four decimal places as​ needed)

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