1. According to records, the amount of precipitation in a certain city on a November day has a mean of 0.10 inches, with

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1. 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 0.07 inches. What is the probability that the
mean daily precipitation will be 0.105 inches or less for a random
sample of 40 November days (taken over many years)?
2. A researcher believes that about 75% of the seeds planted
with the aid of new chemical fertilizer will germinate. He chooses
a random sample of 130 seeds and plants them with the aid of the
fertilizer. Assuming his belief to be true, approximate the
probability that at most 100 of the 130 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.
3. Suppose that 10% of the population of the U.S. is
left-handed. If a random sample of 170 people from the U.S. is
chosen, approximate the probability that fewer than 15 are
left-handed. 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.