The length of pregnancies of humans has a mean of 265 days and a standard deviation of 10 days. (a) What is the value for k for the length of pregnancies in the interval between 250 and 280 days?   At least what percentage of pregnancies is between 250 and 280 days? (Round your answer to one decimal place.)  % (b) At least what percentage of pregnancies is between 247.5 and 282.5 days? (Round your answer to one decimal place.)  %

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
The length of pregnancies of humans has a mean of 265 days and a standard deviation of 10 days.
(a)
What is the value for k for the length of pregnancies in the interval between 250 and 280 days?
 
At least what percentage of pregnancies is between 250 and 280 days? (Round your answer to one decimal place.)
 %
(b)
At least what percentage of pregnancies is between 247.5 and 282.5 days? (Round your answer to one decimal place.)
 %
Expert Solution
Step 1

The question is about Chebyshev's theorem

Given :

Mean length of pregnancies of humans ( μ ) = 265 days

Std. deviation of length of pregnancies ( σ ) = 10 days

 

To find :

a ) value of k and at least what % of pregnancies is between 250 and 280 days? 

b ) At least what % of pregnancies is between 247.5 and 282.5 days?

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman