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Suppose that a new treatment is successful in curing a common ailment61 % of the time. If the treatment is tried on a random sample

Suppose that a new treatment is successful in curing a common ailment61

%

of the time. If the treatment is tried on a random sample of105

patients, approximate the probability that at most65

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.

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