2.122 In the field of quality control, the science of statistics is often used to determine if a process is "out of control." Suppose the process is, indeed, out of con- trol and 20% of items produced are defective. (a) If three items arrive off the process line in succes- sion, what is the probability that all three are de- fective? (b) If four items arrive in succession, what is the prob- ability that three are defective?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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2.122 In the field of quality control, the science of
statistics is often used to determine if a process is "out
of control." Suppose the process is, indeed, out of con-
trol and 20% of items produced are defective.
(a) If three items arrive off the process line in succes-
sion, what is the probability that all three are de-
fective?
(b) If four items arrive in succession, what is the prob-
ability that three are defective?
Transcribed Image Text:2.122 In the field of quality control, the science of statistics is often used to determine if a process is "out of control." Suppose the process is, indeed, out of con- trol and 20% of items produced are defective. (a) If three items arrive off the process line in succes- sion, what is the probability that all three are de- fective? (b) If four items arrive in succession, what is the prob- ability that three are defective?
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