3. In a typical 1 L plastic bottle, there are on average 325 plastic particles with a standard deviation of 11. Assume that the number of plastic particles in a 1L bottle is normally distributed. a. If a 1L bottle is randomly selected, find the probability that the number of plastic particles are greater than 320. b. If a case of 12 one-litre bottles is selected, find the probability that the mean number of plastic particles is between 320 and 330 plastic particles per bottle.

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

Pls help ASAP and show all work and calculations.

3. In a typical 1 L plastic bottle, there are on average 325 plastic particles with a
standard deviation of 11. Assume that the number of plastic particles in a 1L bottle is
normally distributed.
a. If a 1L bottle is randomly selected, find the probability that the number of plastic
particles are greater than 320.
b. If a case of 12 one-litre bottles is selected, find the probability that the mean number
of plastic particles is between 320 and 330 plastic particles per bottle.
Transcribed Image Text:3. In a typical 1 L plastic bottle, there are on average 325 plastic particles with a standard deviation of 11. Assume that the number of plastic particles in a 1L bottle is normally distributed. a. If a 1L bottle is randomly selected, find the probability that the number of plastic particles are greater than 320. b. If a case of 12 one-litre bottles is selected, find the probability that the mean number of plastic particles is between 320 and 330 plastic particles per bottle.
Expert Solution
steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
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