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Q8. A researcher believes that about 70% of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random

Q8.

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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 125 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at least 90 of the 125 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity. Rounc your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) X 8 According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches, with a standard deviation of 0.06 inches. what is the probability that the mean daily precipitation will be 0.11 inches or more for a random sample of 40 November days (taken over many years)? Cam.r your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. X \\'3

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