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In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and the wafers are independent. Then the probability distribution of the number of wafers from a lot that pass the test is: None of these P(X=0) = 0.027, P(X=1) = 0.189, P(X=2) = 0.441, P(X=3) = 0.343 P(X=0) = 0.064, P(X=1) = 0.288, P(X=2) = 0.432, P(X=3) = 0.216 %3D P(X=0) = 0.008, P(X=1) = 0.096, P(X=2) = 0.384, P(X=3) = 0.512

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and the wafers are independent. Then the probability distribution of the number of wafers from a lot that pass the test is: None of these P(X=0) = 0.027, P(X=1) = 0.189, P(X=2) = 0.441, P(X=3) = 0.343 P(X=0) = 0.064, P(X=1) = 0.288, P(X=2) = 0.432, P(X=3) = 0.216 %3D P(X=0) = 0.008, P(X=1) = 0.096, P(X=2) = 0.384, P(X=3) = 0.512

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 1E
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Question In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and the wafers are independent. Then the probability distribution of the number of wafers from a lot that pass the test is: None of these = 0.027, P(X=1) = 0.189, P(X=2) = P(X=0) 0.441, P(X=3) = 0.343 %3D P(X=0) = 0.064, P(X=D1) = 0.288, P(X=2) = 0.432, P(X=3) = 0.216 %3D %3D P(X=0) = 0.008, P(X=1) = 0.096, P(X=2)% D 0.384, P(X=3) = 0.512 %3D %3D
Transcribed Image Text:Question In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume that the probability that a wafer passes the test is 0.6 and the wafers are independent. Then the probability distribution of the number of wafers from a lot that pass the test is: None of these = 0.027, P(X=1) = 0.189, P(X=2) = P(X=0) 0.441, P(X=3) = 0.343 %3D P(X=0) = 0.064, P(X=D1) = 0.288, P(X=2) = 0.432, P(X=3) = 0.216 %3D %3D P(X=0) = 0.008, P(X=1) = 0.096, P(X=2)% D 0.384, P(X=3) = 0.512 %3D %3D
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