The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg?

A. Approximately 68%

B. Approximately 99.7%

C. Approximately 99.99%

D. Approximately 95%

Question

Mathematics

Rogelio Ho

4 May, 17:19

The systolic blood pressure of 18-year-old women is a roughly bell-shaped distribution with a mean of 120 mmHg and a standard deviation of 12 mmHg. What percentage of 18-year-old women have a systolic blood pressure between 96 mmHg and 144 mmHg?

A. Approximately 68%

B. Approximately 99.7%

C. Approximately 99.99%

D. Approximately 95%

+4

Answers (1)

Know the Answer?

Marshall Drake · Answer 1

C. approximately 99.99%

Step-by-step explanation:

The distribution bell shape is a normal distribution, with mean 120 mmHg and standard deviation 12 mmHg.

The rank between 96 mmHg and 144 mmHg is wider than the rank between mean plus, minus 3 standard deviation (102 mmHg up to 138 mmHg), and this rank is approximately 99.7 %. Therefore 99.99 % includes more closely values in the rank 96 up to 144 mmHg