(a) What is the probability that on average, the weight of a carton is more than 9.135 oz? (b) What is the probability that on average, the weight of a carton is between 9.125 oz and 9.525 oz? (c) The specification strictly enforced for the filling machine is that all cartons need to have a mean weight of 9.0 + 0.125 oz. If any carton is produced with weight outside these bounds, it is considered by the supplier to be defective. Calculate the probability that a carton selected is considered defective.
(a) What is the probability that on average, the weight of a carton is more than 9.135 oz? (b) What is the probability that on average, the weight of a carton is between 9.125 oz and 9.525 oz? (c) The specification strictly enforced for the filling machine is that all cartons need to have a mean weight of 9.0 + 0.125 oz. If any carton is produced with weight outside these bounds, it is considered by the supplier to be defective. Calculate the probability that a carton selected is considered defective.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Suppose a filling machine is used to fill cartons with a liquid product. Table Q2 below shows
data for the weight of 30 cartons. Assume that the weight of the cartons filled with a liquid
product is normally distributed.
Table Q2 Weight of 30 cartons filled with a liquid product
9.939
9.155
9.798
9.732
9.846
9.122
9.435
9.135
9.652
9.263
8.758
9.073
9.080
8.643
9.534
9.986
9.385
9.518
9.318
9.024
9.252
9.422
9.858
9.626
8.124
9.464
9.318
9.275
9.025
9.737
Transcribed Image Text:(a)
What is the probability that on average, the weight of a carton is more than 9.135 oz?
(b)
What is the probability that on average, the weight of a carton is between 9.125 oz and
9.525 oz?
(c)
The specification strictly enforced for the filling machine is that all cartons need to have
a mean weight of 9.0 + 0.125 oz. If any carton is produced with weight outside these
bounds, it is considered by the supplier to be defective. Calculate the probability that a
carton selected is considered defective.
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