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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 4 days.

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 4 days.


(a) The life spans of three randomly selected fruit flies are 34 ​days, 31 ​days, and 45 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 29 ​days, 25 ​days, and 45 days. Using the Empirical​ Rule, find the percentile that corresponds to each life span.

Top Answer

a) for X = 34 days z=0.25 for X = 31 days, z = -0.5 for X = 45 days z = 3 b) for X = 29, z = -1,... View the full answer

empirical_rule.png

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Other Answers

(a) When X = 34 Z = 0.25 When X = 31 Z = -0.5 When X = 45 Z = 3 Life... View the full answer

68-95-99.7 rule.gif

(a) The z scores of a fruit fly with life span of 34 days, 31 days and 45 days are... View the full answer

(a) For x = 34 z = 0.25 For x = 31 z = -0.5 For x = 45 z = 3 Here No life span... View the full answer

Empirical Rule.JPG

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