Question

2.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 140 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that more than 97 of the 140 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 11% of the population of the U.S. is left-handed. If a random sample of 185 people from the U.S. is chosen, approximate the probability that fewer than 19 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.

4. Suppose that a new treatment is successful in curing a common ailment 71% of the time. If the treatment is tried on a random sample of 90 patients, approximate the probability that at least 64 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.

5.Suppose that 15% of the people in a large city have used a hospital emergency room in the past year. If a random sample of 120 people from the city is taken, approximate the probability that at most 18 used an emergency room in the past year. 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.

Answer 1