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 l1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. 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 20.015), 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 l1%. When 1.5% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. 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 20.015), 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 l1%. When 1.5% or more of the light bulbs in the
sample of 4400 are defective, the control unit calls repair technicians for service.
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 20.015), 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.
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