The life spans of a species of fruit fly have abell-shaped distribution, with a mean of 30

30 days and a standard deviation of 5

5 days.

(a) The life spans of three randomly selected fruit flies are 35

35 days, 25

25 days, and 42

. Find thez-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 40

40 days, 25

25 days, and 20

Using the EmpiricalRule, find the percentile that corresponds to each life span.

(a) Thez-score corresponding a life span of 35

35 days is

1

1.

(Type an integer or a decimal rounded to two decimal places asneeded.)

Thez-score corresponding a life span of 25

25 days is

negative 1

1.

(Type an integer or a decimal rounded to two decimal places asneeded.)

Thez-score corresponding a life span of 42

42 days is

2.4

2.4.

(Type an integer or a decimal rounded to two decimal places asneeded.)

Select all of the life spans that are unusual.

A.

35

35 days

B.

42

42 days

Your answer is correct.

C.

25

25 days

D.

None of the life spans are unusual.

(b) Determine the percentiles using the Empirical Rule.

The 40

40 day fruit fly corresponds to the

nothing

th percentile.

The 25

25 day fruit fly corresponds to the

nothing

th percentile.

The 20

20 day fruit fly corresponds to the

nothing

th percentile.

(Type an integer or adecimal.)