Suppose that a new treatment is successful in curing a common ailment 75% of the time. If the treatment is tried on a random sample of 85 patients, approximate the probability that at most 64 will be cured. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places, Do not round any intermediate steps. (If necessary, consult a list of formulas.)

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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Suppose that a new treatment is successful in curing a common ailment 75% of the time. If the treatment is tried on a random sample of 85 patients,
approximate the probability that at most 64 will be cured. Use the normal approximation to the binomial with a correction for continuity.
Round your answer to at least three decimal places, Do not round any intermediate steps.
(If necessary, consult a list of formulas.)
Transcribed Image Text:Suppose that a new treatment is successful in curing a common ailment 75% of the time. If the treatment is tried on a random sample of 85 patients, approximate the probability that at most 64 will be cured. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places, Do not round any intermediate steps. (If necessary, consult a list of formulas.)
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