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 5 days. (a) The life spans of three randomly selected fruit flies are 36 days, 32 days, and 46 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 38 days, 48 days, and 28 days. Using the Empirical Rule, find the percentile that corresponds to each life span. a) The z-score corresponding a life span of 36 days is .6 Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 32 days is - .2 (Type an integer or a decimal rounded to two decimal places as needed.) The z-score corresponding a life span of 46 days is 2.6 (Type an integer or a decimal rounded to two decimal places as needed.) Select all of the life spans that are unusual. A. 32 days B. 36 days Y C. 46 days D. None of the life spans are unusual. (b) Determine the percentiles using the Empirical Rule. The 38 day fruit fly corresponds to the th percentile. The 48 day fruit fly corresponds to the th percentile. The 28 day fruit fly corresponds to the th percentile. (Type an integer or a decimal.) Check