Shevon Corporation buys parts from international suppliers. One part is currently being purchased from a Malaysian supplier under a contract that calls for at most 5% of the 10000 parts to be defective. When a shipment arrives, Shevon randomly samples 10 parts. If they find 2 or fewer defectives in the sample, they keep the shipment; otherwise, they return the entire shipment to the supplier. Required: a) Assuming that the conditions for the binomial distribution are satisfied, what is the probability that the sample will lead Shevon to keep the shipment if the defect rate is actually 0.05 b) Suppose the supplier is actually sending Shevon 10% defects, what is the probability that the sample will lead Shevon to accept the shipment

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Shevon Corporation buys parts from international suppliers. One part is
currently being purchased from a Malaysian supplier under a contract that calls
for at most 5% of the 10000 parts to be defective. When a shipment arrives,
Shevon randomly samples 10 parts. If they find 2 or fewer defectives in the
sample, they keep the shipment; otherwise, they return the entire shipment to
the supplier.
Required:
a) Assuming that the conditions for the binomial distribution are satisfied,
what is the probability that the sample will lead Shevon to keep the
shipment if the defect rate is actually 0.05
b) Suppose the supplier is actually sending Shevon 10% defects, what is the
probability that the sample will lead Shevon to accept the shipment
Transcribed Image Text:Shevon Corporation buys parts from international suppliers. One part is currently being purchased from a Malaysian supplier under a contract that calls for at most 5% of the 10000 parts to be defective. When a shipment arrives, Shevon randomly samples 10 parts. If they find 2 or fewer defectives in the sample, they keep the shipment; otherwise, they return the entire shipment to the supplier. Required: a) Assuming that the conditions for the binomial distribution are satisfied, what is the probability that the sample will lead Shevon to keep the shipment if the defect rate is actually 0.05 b) Suppose the supplier is actually sending Shevon 10% defects, what is the probability that the sample will lead Shevon to accept the shipment
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