  In studies for a medication, 15 percent of patients gained weight as a side effect. Suppose 413 patients are randomly selected. Use the normal approximation to the binomial toapproximate the probability thata) exactly 70 patients will gain weight as a side effect(b) 70 or fewer patients will gain weight as a side effect(c) 65 or more patients will gain weight as a side effect(d) between 70 and 75, inclusive,, will gain weight as a side effect(a) P(X-70)(Round to four decimal places as needed)(b) P(Xs70)(Round to four decimal places as needed)(c) P(X2 65)(Round to four decimal places as needed)(d) P(70sXs75) (Round to four decimal places as needed)Enter your answer in each of the answer boxes.10x15+\$8.07 eachеre to search

Question help_outlineImage TranscriptioncloseIn studies for a medication, 15 percent of patients gained weight as a side effect. Suppose 413 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that a) exactly 70 patients will gain weight as a side effect (b) 70 or fewer patients will gain weight as a side effect (c) 65 or more patients will gain weight as a side effect (d) between 70 and 75, inclusive,, will gain weight as a side effect (a) P(X-70) (Round to four decimal places as needed) (b) P(Xs70) (Round to four decimal places as needed) (c) P(X2 65) (Round to four decimal places as needed) (d) P(70sXs75) (Round to four decimal places as needed) Enter your answer in each of the answer boxes. 10x15 + \$8.07 each е re to search fullscreen
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Introduction:

Denote X be the number of patients who gained weight in a sample of n = 413. Here, X is a binomial variable.

The probability of success is, p = 0.15.

The mean is, np = 61.95; the variance is, np (1 – p) = 52.66; the standard deviation is, √ [n...

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