Problem 5 (15 points): The vaccine can be purified by one of three different machines: Machine A, Machine B, or Machine C. The probability of a defect if Machine A is used is 0.009. The probability of a defect if Machine B is used is 0.002. The probability of a defect if Machine C is used is 0.06. Of 1500 products sampled, 300 were processed on Machine A, 700 were processed on Machine B, and the remainder on Machine C. 1) What is the probability of producing a defect at the purification step?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Problem 5 (15 points): The vaccine can be purified by one of three different machines: Machine
A, Machine B, or Machine C. The probability of a defect if Machine A is used is 0.009. The
probability of a defect if Machine B is used is 0.002. The probability of a defect if Machine C is
used is 0.06.
Of 1500 products sampled, 300 were processed on Machine A, 700 were processed on Machine
B, and the remainder on Machine C.
1) What is the probability of producing a defect at the purification step?
Transcribed Image Text:Problem 5 (15 points): The vaccine can be purified by one of three different machines: Machine A, Machine B, or Machine C. The probability of a defect if Machine A is used is 0.009. The probability of a defect if Machine B is used is 0.002. The probability of a defect if Machine C is used is 0.06. Of 1500 products sampled, 300 were processed on Machine A, 700 were processed on Machine B, and the remainder on Machine C. 1) What is the probability of producing a defect at the purification step?
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