Assume the following informaon. The height of adult women in the city of Boston can be characterized with a normal distribuon with mean 65 inches and standard deviaon 3 inches. The height of adult women in the city of Seoul can be characterized with a normal distribuon with mean 63 inches and standard deviaon 2 inches. Alice lives in Boston and is 66.5 inches tall. [1] Find the probability that a randomly chosen woman in the city of Boston is taller than Alice. [2] Assume you randomly choose 1 women from the city of Boston and 1 women from the city of Seoul. Find the probability that the women from Boston is taller than the women from Seoul. [3] How many women from the city of Seoul would you have to pick so that, with at least 95% probability, their average height is less that 1 inch above or below the populaon mean?
Assume the following informaon. The height of adult women in the city of Boston can be characterized with a normal distribuon with mean 65 inches and standard deviaon 3 inches. The height of adult women in the city of Seoul can be characterized with a normal distribuon with mean 63 inches and standard deviaon 2 inches. Alice lives in Boston and is 66.5 inches tall.
[1] Find the
[2] Assume you randomly choose 1 women from the city of Boston and 1 women from the city of Seoul. Find the probability that the women from Boston is taller than the women from Seoul.
[3] How many women from the city of Seoul would you have to pick so that, with at least 95% probability, their average height is less that 1 inch above or below the populaon mean?
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