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The life spans of a species of fruit fly have a​ bell-shaped distribution, with a mean of 33 days and a standard deviation of 4 days. (a) The life spans of three randomly selected fruit flies are 34 ​days, 31 ​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 29 ​days, 25 ​days, and 45 days. Using the Empirical​ Rule, find the percentile that corresponds to each life span.

The life spans of a species of fruit fly have a​ ;bell-shaped distribution, with

a mean of 33 days and a standard deviation of 4 days.

(a) The life spans of three randomly selected fruit flies are 34 ​days, 31 ​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 29 ​days, 25 ​days, and 45 days. Using the Empirical​ Rule, find the percentile that corresponds to each life span.

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