Algebra: Standard Deviation

Mathematics
Tutor: None Selected Time limit: 1 Day

Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people.

(a) How many would you expect to be between 170 and 180 cm tall?

Mar 16th, 2015

a)  between 170 and 180 is 2 standard deviations

according to the normal distribution curve, 2 standard deviations represents

47.7% of the total distribution, so

(80)(.477) = 38

Mar 16th, 2015

The second part to the problem is below.

(b) How many would you expect to be taller than 177 cm?

Mar 16th, 2015

z = 177-170 / 5 = 1.4

P(z>1.4) = 1 - .9192 = .08

(80)(.08) = 6

Mar 16th, 2015

Thank you for the answer to both parts, great work.

Mar 16th, 2015

You're welcome.

Mar 16th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Mar 16th, 2015
...
Mar 16th, 2015
Dec 8th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer