Question

1-The number of defective components produced by a certain process in one day has a Poisson...

1-The number of defective components produced by a certain process in one day has a Poisson distribution with mean 19. Each defective component has probability 0.6 of being repairable.

a) Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable.

b) Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.

Math   Statistics-And-Probability   
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Answer #1

The distribution given here is:

a) The number of repairable components out of 15 defective ones could be modelled here as:

The required probability here is computed as:

Therefore 0.1859 is the required probability here.

b) The probability that exactly 10 defective components are there with exactly 10 of them being repairable

Therefore 0.0121 is the required probability here.

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