How Does Poisson Distribution Estimate Flaws in a 40 Square Foot Metal Sheet?

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SUMMARY

The discussion focuses on using the Poisson distribution to estimate the probability of flaws in a metal sheet measuring 40 square feet, given a flaw rate of 1 per 10 square feet. The formula discussed is e^(-np) * (np)^k/k!, where 'n' represents the area in square feet and 'p' is the flaw rate per square foot. Participants clarify that for an area of 40 square feet, the expected number of flaws can be calculated as 4, leading to the evaluation of the probability of having 3 or more flaws in that area.

PREREQUISITES
  • Understanding of Poisson distribution
  • Basic knowledge of probability theory
  • Familiarity with mathematical notation and formulas
  • Ability to perform calculations involving exponents and factorials
NEXT STEPS
  • Study the Poisson distribution in detail, including its applications in real-world scenarios
  • Learn how to calculate probabilities using the Poisson formula
  • Explore examples of flaw detection in manufacturing processes
  • Investigate statistical software tools for performing Poisson distribution calculations
USEFUL FOR

This discussion is beneficial for statisticians, quality control engineers, and anyone involved in manufacturing processes where flaw detection is critical.

semidevil
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so flaws in metal produced by high temperatures occur at a rate of 1 per 10 square feet. what is the probability that there is 3 or more flaws in a 8 x 5 feet.

ok, so I know we need to use poisson disstribution on this, e^-np * np^k/k!.

howver, I don't know my np.

so 1 per 10 square feet means 1 per 10 x 10 feet...maybe we can say this is the same as .1 per 1 x 1 feet.

so how do I put this in terms of 8 x 5 feet?
 
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8*5 = 40 square feet...
you have 1 per 10 square feet... that's means...

even a 10 years old kids can do this problem...

what grade are you in? I don't realize middle school teachers start teaching poisson equation to the 7th grader...
 
vincentchan said:
8*5 = 40 square feet...
you have 1 per 10 square feet... that's means...

even a 10 years old kids can do this problem...

what grade are you in? I don't realize middle school teachers start teaching poisson equation to the 7th grader...


haha...whoops, wasn't thinking about this...I got it...haha
 

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