exercise about discrete distributions

[paveer]

I have tried several options without success....

- when production process is adjusted correctly, 5% of the products show an error.
- if not properly adjusted, 20% of the output will show errors.
- It is known from the past that 85% of the time the process is correctly adjusted.
- 10 pieces are taken randomly from the last production and it is found that 4 pieces show an error. what is the probability that the production process is correctly adjusted?

thanks in advance for your help

 

[Steven G]

You thank us for help but did not state what type of help you need. We do not solve problems for students on this forum, rather we give hints to help the student solve their own problem. If you show us what you tried then we know the method which you want to use and we can see where you are making any mistakes. So please follow the forum's posting guidelines and post back showing your work.

 

[Romsek]

Use Baye's Theorem

[MATH] P[A|B] = \dfrac{ P[ B|A]P[A] }{ P[ B] } [/MATH]