leonormartinez6423 leonormartinez6423

24-11-2022
Mathematics

Answered

at a certain auto parts manufacturer, the quality control division has determined that one of the machines produces defective parts of the time. if this percentage is correct, what is the probability that, in a random sample of parts produced by this machine, exactly are defective?

Answer :

smecloudbird18 smecloudbird18

03-12-2022

The probability of a random sample of parts produced by this machine being exactly defective = 0.15

Step-by-step explanation:

Let the percentage of defective part be 12%

and the sample be out of 7 , 2 are defective.

P(X=x) = (e-λ λ x)/ x! [ poisson distribution]

Since, 12% defective parts is produced by one of the machines of the time.

μ= (12%×7)= 0.84

the number of defective product =2

Therefore ,

P(X=2) = 0.15

Thus the required probability becomes 0.15

In Statistics, Poisson distribution is one of the important topics. It is used for calculating the possibilities for an event with the average rate of value. Poisson distribution is a discrete probability distribution.

To learn more about Poisson distribution

https://brainly.com/question/24327826

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