Suppose that a new treatment is successful in curing a common ailment 60% of the time. If the treatment is tried on a random sample of 90 patients, approximate the probability that at least 55 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.
Added by Russell L.
Step 1
Given: n = 90 (number of trials) p = 0.6 (probability of success) μ = n * p = 90 * 0.6 = 54 σ = sqrt(n * p * (1 - p)) = sqrt(90 * 0.6 * 0.4) = sqrt(21.6) ≈ 4.64758 Show more…
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