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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
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 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
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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 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

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Hi! Thanks for the question. As your question has more than 3 parts, we have solved the first 3 parts for you, according to our policy. If you need help with any other part, please re-post the question and mention the part.

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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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