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Probability Problem

Expert replies
by way2ashish » Sat Dec 29, 2012 2:26 am
In a toy manufacturing company the probability that the toy manufactured is defective is 0.1. For shipment purposes 5 toys are packed in a box.The shipment of the box of toys is only done if the inspection department of the company clears the box of toys after inspection.Due to strict government regulatory guidelines the inspection department of the company rejects the box of toys for shipment even if one of the toys is defective.What is the probability that the box of toys will be not be cleared for shipment by the inspection department of the toy manufacturing company?
1) 0.1

2) 0.15

3) 1-(0.1)^5

4) (0.9)^5

5) 1-(0.9)^5
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Source: — Problem Solving |

by Anurag@Gurome » Sat Dec 29, 2012 4:48 am
way2ashish wrote:In a toy manufacturing company the probability that the toy manufactured is defective is 0.1. For shipment purposes 5 toys are packed in a box.The shipment of the box of toys is only done if the inspection department of the company clears the box of toys after inspection.Due to strict government regulatory guidelines the inspection department of the company rejects the box of toys for shipment even if one of the toys is defective.What is the probability that the box of toys will be not be cleared for shipment by the inspection department of the toy manufacturing company?
The probability that the box will be cleared for shipment = The probability that all the five toys in the box are not defective = (1 - 0.1)^5 = (0.9)^5

Hence, the probability that the box will not be cleared for shipment = 1 - (0.9)^5


The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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