According to an agreement between a smartphone producer and a retail company, the former delivers a large batch of smartphones of some given model. The retail company applies a quality check by randomly selecting 100 smartphones from the batch, and, if 3 or more of these smartphones are found defected, the entire batch is rejected. Suppose a historical defect rate for this type of smartphones is p = 0.005. Derive (and compute) the probability that the batch is not rejected using  an  approximation  with  the  Poisson  distribution.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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According to an agreement between a smartphone producer and a retail company, the former delivers a large batch of smartphones of some given model. The retail company applies a quality check by randomly selecting 100 smartphones from the batch, and, if 3 or more of these smartphones are found defected, the entire batch is rejected. Suppose a historical defect rate for this type of smartphones is p = 0.005. Derive (and compute) the probability that the batch is not rejected using  an  approximation  with  the  Poisson  distribution.

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