Q5. The amount of sugar (X) contained in 2-kg packets is actually normally distributed with a mean of µ = 2.03 kg and a standard deviation of o = 0.014 kg. (a) What proportion of sugar packets are underweight? (b) If an alternative package-filling machine is used for which the weights of the packets are normally distributed with a mean of µ = 2.05 kg and a standard deviation of o = 0.016 kg, does this result in an increase or a decrease in the proportion of underweight packets? (c) What is the probability that the amount of sugar of a randomly selected bearing is between 1 and 2 SDs from its mean value? (d) What is the value of c for which there is a 95% probability that a packet weight is within the interval [2.03 – c, 2.03 + c]? (e) What is the value of c for which there is a 95% probability that a packet weight is within the interval [2.5 – c, 2.5 + c]?

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
icon
Concept explainers
Topic Video
Question

can anyone solve me only D and E part only.

A Assignn X
(1) Mes: X
math36
S Solutior X
Solved: X
C Solved: x
MAT 36 X
Verify E X
M Verify y X
My Que X
+
classroom.google.com/u/1/c/Mjc0OTA5MjkxNTcz/a/MzE2ODMxMTkzNTgx/details
M
mumbe OI ODSErved toTTiauoes uufng O TmoffthTS perfodr
Q5. The amount of sugar (X) contained in 2-kg packets is actually normally
distributed with a mean of µ = 2.03 kg and a standard deviation of o = 0.014
kg.
(a) What proportion of sugar packets are underweight?
(b) If an alternative package-filling machine is used for which the weights of the
packets are normally distributed with a mean of µ = 2.05 kg and a standard
deviation of o
0.016 kg, does this result in an increase or a decrease in the
||
proportion of underweight packets?
(c) What is the probability that the amount of sugar of a randomly
selected bearing is between 1 and 2 SDs from its mean value?
(d) What is the value of c for which there is a 95% probability that a
packet weight is within the interval [2.03 – c, 2.03 + c]?
(e) What is the value of c for which there is a 95% probability that a
packet weight is within the interval [2.5 – c, 2.5 + c]?
4:30 PM
日
») O ENG
..
19/4/2021
Transcribed Image Text:A Assignn X (1) Mes: X math36 S Solutior X Solved: X C Solved: x MAT 36 X Verify E X M Verify y X My Que X + classroom.google.com/u/1/c/Mjc0OTA5MjkxNTcz/a/MzE2ODMxMTkzNTgx/details M mumbe OI ODSErved toTTiauoes uufng O TmoffthTS perfodr Q5. The amount of sugar (X) contained in 2-kg packets is actually normally distributed with a mean of µ = 2.03 kg and a standard deviation of o = 0.014 kg. (a) What proportion of sugar packets are underweight? (b) If an alternative package-filling machine is used for which the weights of the packets are normally distributed with a mean of µ = 2.05 kg and a standard deviation of o 0.016 kg, does this result in an increase or a decrease in the || proportion of underweight packets? (c) What is the probability that the amount of sugar of a randomly selected bearing is between 1 and 2 SDs from its mean value? (d) What is the value of c for which there is a 95% probability that a packet weight is within the interval [2.03 – c, 2.03 + c]? (e) What is the value of c for which there is a 95% probability that a packet weight is within the interval [2.5 – c, 2.5 + c]? 4:30 PM 日 ») O ENG .. 19/4/2021
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
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.
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