The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P (p20.015 ), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P (p20.015 ), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
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:The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The
records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material
used) is 1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for
service.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when
there is no malfunction.
(b) Find the standard deviation of p.
|(c) Compute an approximation for P(p>0.015 ), which is the probability that the service
technicians will be called even though the system is functioning properly. Round your answer to
four decimal places.
Explanation
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