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WILL MARK BRAINLIEST! The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. They hire a consultant who uses a carbon footprint calculator to test the emissions level. The accuracy of the test is 85%.
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is: (I have to type in answer)

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Answer:

The probability that carbon emissions from the company’s factory exceed the permissible level is 35%.

That means the probability that the carbon emissions at within permissible level are 65%

The test, which has an accuracy rate of 85%, which means 85% of positive reading has a positive result. The positive reading indicates that the factory's carbon emissions are within the permissible level.

the answer is .9132

Step-by-step explanation:

hope this helps you

Cricetus

The probability as per the statement will be "0.9132".

Let,

  • The emission exceed the possible be "x".
  • The emission doesn't exceed be "y".
  • When the outcomes of the test show that perhaps the factory's carbon emissions surpass the allowable limit be "p".
  • When the outcomes of the tests show that the factory's carbon emissions don't exceed the allowable threshold be "q".

Now,

The probability is:

→ [tex]P(xq) = 0.35\times 0.15[/tex]

             [tex]= 0.0525[/tex]

→ [tex]P(yp) = (1-0.35)\times 0.85[/tex]

             [tex]= 0.65\times 0.85[/tex]

             [tex]= 0.5525[/tex]

hence,

The likelihood that perhaps the factory's carbon emissions were well within the allowable range:

= [tex]\frac{0.5525}{(0.5525+0.0525)}[/tex]

= [tex]\frac{0.5525}{0.605}[/tex]

= [tex]0.9132[/tex]

Thus the above response is right.

Learn more about probability here:

https://brainly.com/question/14303651

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