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The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 32 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 32 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit flies are 35 days, 27 days, and 45 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 27 days, 47 days, and 42 days. Using the Empirical Rule, find the percentile that corresponds to each life span ( lype an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 45 days is 2.6 (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. A. 45 days B. 35 days C. 27 days D. None of the life spans are unusual. (b) Determine the percentiles using the Empirical Rule. The 27 day fruit fly corresponds to a percentile of The 47 day fruit fly corresponds to a percentile of The 42 day fruit fly corresponds to a percentile of (Round to the nearest whole number as needed.)

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