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The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 36 days and a standard deviation of 5

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The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 36 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 40 days, 33 days, and 52 days. Find the z-score that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit flies are 26 days, 51 days, and 31 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 40 days is 0.8 . (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 33 days is -0.6 . (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 52 days is 3.2 . (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. A. 40 days LY B. 52 days C. 33 days D. None of the life spans are unusual. (b) Determine the percentiles using the Empirical Rule. The 26 day fruit fly corresponds to the th percentile. The 51 day fruit fly corresponds to the th percentile. The 31 day fruit fly corresponds to the th percentile. (Type an integer or a decimal.)

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