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otconmm.tp A distributor receives a large shipment of components. The distributo

ID: 3047566 • Letter: O

Question

otconmm.tp A distributor receives a large shipment of components. The distributor would ke to accept the ship ert n so lower ofthe con components are defective. She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is She decides to sample 10 components, and to return the shipment if more than 1 of the 10 is defective nem d fede and toreturn n e t , References eBook & Resources Section Break Difficulty: Medium Chapter: 04 Commonly UsedSection: 04.02 The Binomial Distribution Distributions Required information 217 points The distributor decides that she will accept the shipment only if none of the sampled items are probability no greater than001 of accepting the shipmen I defective. What is the minimum number of hems she should sample I she wants to have a if 20% of the components in the shipment are defective? Round the answer to the next largest whole number Hints References Book & Resources Hint F6 F4

Explanation / Answer

Let n items should be sampled. As per the condition:

P(Accept the shipment) < 0.01

P(No defects) < 0.01

(0.80)n< 0.01

On solving, we get:

n > 20.64

n > 21

Hence,

Atleast 21 items should be sampled.