Reference no: EM132101613

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 three randomly selected fruit flies are 34 days, 30 days, and 42 days. Find the z-score that corresponds to each life span.

When x = 34, z = (34-33)/4 = 0.25. 

When x = 30, z = (30-33)/4 = -0.75

When x = 42, z = (42-33)/4 = 2.25

1. Which of these life spans are unusual.
2. How did you found which life span was considered unusual.

The life spans of three randomly selected fruit flies are 29 days, 41 days, and 25 days.

1. Using the Empirical Rule, find the percentile that corresponds to each life span.
2. What do the percentiles mean in each situation?