Suppose items passed through an assembly line has a 2% defect rate. a. Find the probability that the first defective item today is the tenth item passed through the assembly line today.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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6. Suppose items passed through an assembly line has a 2% defect rate.
a. Find the probability that the first defective item today is the tenth item passed through the
assembly line today.
b. So far 100 items have already passed through the assembly line today and none of them is
defective. Find the probability that the first defective item today is the 110th item passed
through the assembly line today?
c. Let Y be the number of items passed through today until (and including) the first defective
item. Find E[Y] and Var(Y).
Transcribed Image Text:6. Suppose items passed through an assembly line has a 2% defect rate. a. Find the probability that the first defective item today is the tenth item passed through the assembly line today. b. So far 100 items have already passed through the assembly line today and none of them is defective. Find the probability that the first defective item today is the 110th item passed through the assembly line today? c. Let Y be the number of items passed through today until (and including) the first defective item. Find E[Y] and Var(Y).
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