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the number of surface flaws in plastic panels used in the interior of automobiles has a poisson distirbtion witha mean of 0.007 flaws per square foot of plastic panel. assume an automobile interior contains 10 square feet of plastic panel. what is the probability taht there are no surface flaws in an auto's interior?

Respuesta :

The probability that there are no surface flaws in an auto's interior is 93.23%.

What is meant by Poisson distribution?

  • A discrete probability distribution is a Poisson distribution. It expresses the likelihood of an event occurring a certain amount of times (k) inside a given time or space interval.
  • The mean number of occurrences, (lambda), is the only parameter in the Poisson distribution.

For the given question;

The number of surface defects in plastic panels for use in automobile interiors follows a Poisson distribution.

We know that the required number of flaws is calculated using

Expected flaw count = 10×0.007 = 0.07

Thus,

The likelihood there were no surface flaws in an automobile's interior;

P(X=0) = e⁻⁰°⁰⁷

P(X=0) = 0.9323

Thus, the probability that there are no surface flaws in an auto's interior is 93.23%.

To know more about the Poisson distribution, here

https://brainly.com/question/9123296

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