20% of memory chips made in a certain plant are defective.

In summary, 20% of memory chips being defective in a certain plant indicates a high rate of production errors and can lead to financial losses for the company. The reasons for this defect rate could be faulty equipment, inadequate quality control measures, or human error. This defect rate is significantly higher than industry standards, which can have a negative impact on the company's reputation and customer satisfaction. Steps such as implementing stricter quality control measures, investing in updated equipment, and providing additional training for employees can be taken to reduce the defect rate and improve the company's image and customer loyalty.
  • #1
TomJerry
50
0
Problem : 20% of memory chips made in a certain plant are defective.Find the probability that in a lot of 100 randomly chosen for inspection
i) atmost 15 are defective
ii) excatly 15 are defective.
Obtain these probability using normal approximation of binomial probabilities.
Solution

Here mean = np = 100 * 0.2 = 20
S.D. = 4

there P(Z >= 15-20/4) = 0.5 - 0.3944 = 0.1056 [IS THIS CORRECT]

ii) ?
 
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  • #2
no. ;)
 

1. What is the significance of 20% of memory chips being defective in a certain plant?

The significance of 20% of memory chips being defective in a certain plant is that it indicates a high rate of production errors and can result in financial losses for the company.

2. What could be the reasons for 20% of memory chips being defective in a certain plant?

The reasons for 20% of memory chips being defective in a certain plant could be faulty equipment, inadequate quality control measures, or human error in the manufacturing process.

3. How does this defect rate compare to industry standards?

This defect rate of 20% is significantly higher than the industry standard, which typically ranges from 2-5%. It is important for the company to address and improve upon this issue to remain competitive.

4. What steps can be taken to reduce the defect rate in the plant?

To reduce the defect rate in the plant, the company can implement stricter quality control measures, invest in updated equipment, and provide additional training for employees on proper manufacturing techniques.

5. What impact can this defect rate have on the company's reputation and customer satisfaction?

A high defect rate can have a negative impact on the company's reputation and customer satisfaction. It can lead to a loss of trust in the brand and result in decreased sales and customer loyalty. It is crucial for the company to address and improve upon this issue to maintain a positive image and retain customers.

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