- more than 40 patients will gain weight as a side effect. least 51 patients will gain weight as a side effect. What does this result suggest? ... 40)%=(Round to four decimal places as needed)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 565 patients are randomly selected. Use the normal approximation to the
binomial to approximate the probability that
(a) exactly 40 patients will gain weight as a side effect.
(b) no more than 40 patients will gain weight as a side effect.
(c) at least 51 patients will gain weight as a side effect. What does this result suggest?
(a) P(40) =
(Round to four decimal places as needed)
(b) P(X< 40) =
(Round to four decimal places as needed)
(c) P(X251) = (Round to four decimal places as needed)
Since 51 is
than 7% of the patients, this suggests that the proportion of patients that gain weight as a side effect is
0.07.
Transcribed Image Text:In studies for a medication, 7 percent of patients gained weight as a side effect. Suppose 565 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 40 patients will gain weight as a side effect. (b) no more than 40 patients will gain weight as a side effect. (c) at least 51 patients will gain weight as a side effect. What does this result suggest? (a) P(40) = (Round to four decimal places as needed) (b) P(X< 40) = (Round to four decimal places as needed) (c) P(X251) = (Round to four decimal places as needed) Since 51 is than 7% of the patients, this suggests that the proportion of patients that gain weight as a side effect is 0.07.
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