A researcher believes that about

70%

of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of

115

seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at most

81

of the

115

seeds will germinate. 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.