11. -/2 points 0/4 Submissions Used My Notes Ask Your Teacher The length of the

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11. -/2 points 0/4 Submissions Used My Notes Ask Your Teacher The length of the thorax in a population of male fruit flies is approximately Normal with mean 0.750 millimeters (mm) and standard deviation 0.076 mm. Use the 68-95-99.7 rule to answer the following questions. Hint: Page 159 in Text. (a) what range of lengths covers almost all (99.7%) of this distribution? (Round your answers to three decimal places.) between (b) What percent of male fruit flies have a thorax length exceeding 0.902 mm? Show My Work (optional)?

Explanation / Answer

According to emperical rule 99.7% of the data falls within 3 standard deviation from the mean.

0.750 - 3 * 0.076 = 0.522

0.750 + 3 * 0.076 = 0.978

Range of lengths covers almost all (99.7%) of this distribution between 0.522 and 0.978.

b) 0.750 + 2 * 0.076 = 0.902

0.902 is 2 standard deviation above the mean.

According to emperical rule 95% of the data falls within 2 standard deviation from the mean.

So 5% of the data falls out side 2 standard deviation from the mean.

S0 2.5% of male fruit files have a thorax length exceeding 0.902 mm.

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