The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 30 days and a standard deviation of 5

Question

The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 30 days and a standard deviation of 5 days.
(a) The life spans of three randomly selected fruit flies are 33 days, 28 days, and 43 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 25 days, 20 days, and 35 days. Using the Empirical Rule, find the percentile that corresponds to each life span.
(a) The z-score corresponding a life span of 33 days is.
(Type an integer or a decimal rounded to two decimal places as needed.)
The z-score corresponding a life span of 28 days is.
(Type an integer or a decimal rounded to two decimal places as needed.)
The z-score corresponding a life span of 43 days is.
(Type an integer or a decimal rounded to two decimal places as needed.)
Select all of the life spans that are unusual.
A. 33 days
B. 28 days
C. 43 days
D. None of the life spans are unusual.
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