A factory received a shipment of 16 lightbulbs, and the vendor who sold the items knows there are 4 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment. For each of the following, give your responses rounded to the eighth decimal. If a sample of lightbulbs is selected, find the probability that all in the sample are defective. (answer)    If a sample of 4 lightbulbs is selected, find the probability that none in the sample are defective. (answer)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A factory received a shipment of 16 lightbulbs, and the vendor who sold the items knows there are 4 lightbulbs in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the lightbulbs in the sample are defective, he will refuse the shipment.

For each of the following, give your responses rounded to the eighth decimal.

If a sample of lightbulbs is selected, find the probability that all in the sample are defective.
(answer)
  

If a sample of 4 lightbulbs is selected, find the probability that none in the sample are defective.

(answer)

Expert Solution
Step 1

The question is about probability

Given :

Total no. of lightbulbs = 16

No. of lightbulbs in the shipment which are defective = 4

 

To find :

1 ) If a sample of lightbulbs is selected, find the prob. that all in the sample are def.

2 ) If a sample of 4 lightbulbs is selected, find the prob. that none in the sample are def.

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