(Solved): The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 36 days an ...
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, 31 days, and 48 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 46 days, 26 days, and 41 days. Using the Empirical Rule, find the percentile that corresponds to each life span. (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 48 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. 48 days B. 31 days C. 39 days D. None of the life spans are unusual. (b) Determine the percentiles using the Empirical Rule. The 46 day fruit fly correstyonds to a percentile of The 26 day fruit fly corresponds to a percentile of The 41 day fruit fly corresponds to a percentile of (Round to the nearest whole number as needed.)