Question

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

The life spans of a species of fruit fly have a​ bell-shaped distribution, with a mean of 34 days and a standard deviation of 5 days.

​(a) The life spans of three randomly selected fruit flies are 35 ​days, 31days, and 49 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 44 days, 49 ​days, and 24 days. Using the Empirical​ Rule, find the percentile that corresponds to each life span.

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