A shipment of11 game players, including 4 that are defective, is sent to a retail store. The receiving department selects 4 at random for testing and rejects the whole shipment if 1 or more in the sample are found to be defective. What is the probability that the shipment will be rejected? (Choose the closest answer among the choices below) O a. 0.478 O b.0.894 Oc. 0.364 Od.0.106 O e.0.091

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A shipment of 11 game players, including 4 that are defective, is sent to a retail store. The receiving department selects 4 at random for testing
and rejects the whole shipment if 1 or more in the sample are found to be defective. What is the probability that the shipment will be rejected?
(Choose the closest answer among the choices below)
O a. 0.478
b. 0.894
O c. 0.364
O d. 0.106
O e. 0.091
Transcribed Image Text:A shipment of 11 game players, including 4 that are defective, is sent to a retail store. The receiving department selects 4 at random for testing and rejects the whole shipment if 1 or more in the sample are found to be defective. What is the probability that the shipment will be rejected? (Choose the closest answer among the choices below) O a. 0.478 b. 0.894 O c. 0.364 O d. 0.106 O e. 0.091
Expert Solution
Step 1

Given:

  • Number of game players =11.
  • Number of defective game players =4.
  • Number of non defective = 7.

Total number of ways of selecting a non defective game player is C47.

Determine the probability of non defective system.

P=C47C411

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