The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm²? b) What is the probability that the sample mean of the tubes is more than 11.5mm²? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?

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 cross-sectional area of plastic tubing for use in pulmonary resuscitators is
normally distributed with mean 12mm² and standard deviation 0.5mm². A random
sample of 12 tubes is selected for inspection.
Question 2:
a) What is the probability that one of the tubes has a cross-sectional area less
than 11.5mm2?
b) What is the probability that the sample mean of the tubes is more than
11.5mm??
c) Of the 12 tubes samples, how many would you expect to have a cross-
sectional area less than 11.5mm²?
d) What is the probability that exactly half of the tubes sampled have a cross-
sectional area less than 11.5mm²?
Transcribed Image Text:The cross-sectional area of plastic tubing for use in pulmonary resuscitators is normally distributed with mean 12mm² and standard deviation 0.5mm². A random sample of 12 tubes is selected for inspection. Question 2: a) What is the probability that one of the tubes has a cross-sectional area less than 11.5mm2? b) What is the probability that the sample mean of the tubes is more than 11.5mm?? c) Of the 12 tubes samples, how many would you expect to have a cross- sectional area less than 11.5mm²? d) What is the probability that exactly half of the tubes sampled have a cross- sectional area less than 11.5mm²?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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