Question 1169525
.
A previous survey shows that a machine making plastic components is correctly set
up for the day's production on 85% of days. On days when it is set up correctly, 96%
of the components produced are good. If the machine is not set up correctly, only 30%
of the components produced are good. On a particular day, the machine is set up and
the first component produced is found to be good. What is the probability that the
machine is set up correctly?
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The problem's formulation in the post is INCORRECT.

In this formulation, the problem can not be solved/answered.


To be correct, it should be re-formulated, re-edited and re-written 
from scratch.


By reading this problem formulation, I clearly see that a person 
who created it is mathematically incompetent in the subject.



The "solution" in the post by the other tutor @CPhill is GIBBERISH 
produced by an undertrained artificial intelligence.


To keep you mind in safe condition, I recommend you to ignore
both the problem and its quasi-"solution" produced by @CPhill.



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                Regarding the post by @CPhill . . . 



Keep in mind that @CPhill is a pseudonym for the Google artificial intelligence.


The artificial intelligence is like a baby now. It is in the experimental stage 
of development and can make mistakes and produce nonsense without any embarrassment.



                It has no feeling of shame - it is shameless.



This time, again,  it made an error.



Although the @CPhill' solution are copy-paste  Google  AI solutions,  there is one essential difference.


Every time,  Google  AI  makes a note at the end of its solutions that  Google  AI  is experimental
and can make errors/mistakes.


All @CPhill' solutions are copy-paste of  Google  AI  solutions, with one difference:
@PChill never makes this notice and never says that his solutions are copy-past that of Google.
So, he NEVER SAYS TRUTH.


Every time,  @CPhill embarrassed to tell the truth.

But I am not embarrassing to tell the truth,  as it is my duty at this forum.



And the last my comment.


When you obtain such posts from @CPhill,  remember,  that  NOBODY  is responsible for their correctness, 
until the specialists and experts will check and confirm their correctness.


Without it,  their reliability is  ZERO and their creadability is  ZERO,  too.