Question

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 39 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, 31 days, and 41 days. using the empirical rule, find the percentile that corresponds to each life span.

(a) the z-score corresponding a life span of 39 days is .
(type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Calculate the z-score for 39 days

Using the Z-Score Calculation knowledge point

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Answer:

(a) The z-score corresponding a life span of 39 days is <blank>0.6</blank>.