The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ= 275 days and standard deviation Ở = 20 days. (a) What proportion of pregnancies lasts more than 305 days? (b) What proportion of pregnancies lasts between 240 and 285 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 250 days? (d) A "very preterm" baby is one whose gestation period is less than 230 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 305 days is (Round to four decimal places as needed.)
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ= 275 days and standard deviation Ở = 20 days. (a) What proportion of pregnancies lasts more than 305 days? (b) What proportion of pregnancies lasts between 240 and 285 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 250 days? (d) A "very preterm" baby is one whose gestation period is less than 230 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 305 days is (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A-D
![The lengths of a particular animal's pregnancies are approximately normally distributed, with a mean (μ) of 275 days and a standard deviation (σ) of 20 days.
**Questions:**
(a) What proportion of pregnancies lasts more than 305 days?
(b) What proportion of pregnancies lasts between 240 and 285 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 250 days?
(d) A "very preterm" baby is one whose gestation period is less than 230 days. Are very preterm babies unusual?
**Input Box and Instructions:**
(a) The proportion of pregnancies that last more than 305 days is [Input Box].
(Round to four decimal places as needed.)
**Note:** There are no diagrams or graphs accompanying the text in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00437ad0-c521-4cbf-b1d5-8afcb4493cf2%2F75aa00f9-7fdc-4b79-827c-8a1ad50ac41b%2Fyfopiel_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The lengths of a particular animal's pregnancies are approximately normally distributed, with a mean (μ) of 275 days and a standard deviation (σ) of 20 days.
**Questions:**
(a) What proportion of pregnancies lasts more than 305 days?
(b) What proportion of pregnancies lasts between 240 and 285 days?
(c) What is the probability that a randomly selected pregnancy lasts no more than 250 days?
(d) A "very preterm" baby is one whose gestation period is less than 230 days. Are very preterm babies unusual?
**Input Box and Instructions:**
(a) The proportion of pregnancies that last more than 305 days is [Input Box].
(Round to four decimal places as needed.)
**Note:** There are no diagrams or graphs accompanying the text in the image.
Expert Solution
Step 1: given
Given information,
mean=275 and SD=20
Step by step
Solved in 3 steps with 5 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman