Amertron, discussed in the given problem, has established a policy of passing rolls of wire having five or fewer defects.a. Based on the exact Poisson distribution, what is the proportion of the rolls that pass inspection? b. Estimate the answer to part (a) using the normal approximation to the Poisson. Amertron produces electrical wiring in 100-foot rolls. The quality inspectionprocess involves selecting rolls of wire at random and counting the number of de-fects on each roll. The last 20 rolls examined revealed the following numbers ofdefects:RollNumber of DefectsRollNumber of Defects1411612134414751154916875176.851849319103204a. If the number of defects per 100-foot roll of wire follows a Poisson distribution,what is the estimate of c obtained from these observations?b. Using a normal approximation to the Poisson, what are the three-sigma controllimits that you would use to monitor this process?c. Are all 20 observations within the control limits?

Solution a) Roll Defects 1 4 2 6 3 2 4 4 5 1 6 9 7 5 8 5 9 3 10 3 11 2 12…

Answered: Amertron produces electrical wiring in…

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

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Amertron, discussed in the given problem, has established a policy of passing rolls of wire having five or fewer defects.
a. Based on the exact Poisson distribution, what is the proportion of the rolls that pass inspection?
b. Estimate the answer to part (a) using the normal approximation to the Poisson.

Amertron produces electrical wiring in 100-foot rolls. The quality inspection
process involves selecting rolls of wire at random and counting the number of de-
fects on each roll. The last 20 rolls examined revealed the following numbers of
defects:
Roll
Number of Defects
Roll
Number of Defects
1
4
11
6
12
13
4
4
14
7
5
1
15
4
9
16
8
7
5
17
6.
8
5
18
4
9
3
19
10
3
20
4
a. If the number of defects per 100-foot roll of wire follows a Poisson distribution,
what is the estimate of c obtained from these observations?
b. Using a normal approximation to the Poisson, what are the three-sigma control
limits that you would use to monitor this process?
c. Are all 20 observations within the control limits?

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