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]?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 52RE
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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
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