anonymous
  • anonymous
The Breaker's Manufacturing Company makes 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate. If a sensor is randomly selected from the general population of all sensors, what is the probability that it is defective, given that it was made by Cartin Company? 0.04 0.05 0.06 0.15
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
@misssunshinexxoxo
anonymous
  • anonymous
@beginnersmind
misssunshinexxoxo
  • misssunshinexxoxo
Which do you believe it is?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
i honestly dont know
misssunshinexxoxo
  • misssunshinexxoxo
" 80% of a particular sensor, the Cartin Company makes 15% of them, and the Flutes Company makes the other 5%. The sensors made by Breaker's have a 4% defect rate, the Cartin sensors have a 6% defect rate, and the Flutes sensors have a 9% defect rate"
misssunshinexxoxo
  • misssunshinexxoxo
Let's break this down
anonymous
  • anonymous
You need to name your events.
anonymous
  • anonymous
\(A\): it has a defect \(B\): it comes from Breaker \(C\): it comes from Cartin \(F\): it comes from Flutes
anonymous
  • anonymous
"The sensors made by Breaker's have a 4% defect rate" This is saying "It it comes from Breaker, then the probability it has a defect is 4%", which means\[ \Pr(A|B) = 0.04 \]
anonymous
  • anonymous
"The Breaker's Manufacturing Company makes 80% of a particular sensor" This is saying "The probability a it comes from Breaker is 80%"\[ \Pr(B) = 0.80 \]
anonymous
  • anonymous
We want to use the conditional probability here, which states:\[ \Pr(A|B) = \frac{\Pr(A\cap B)}{\Pr(B)} \implies \Pr(A\cap B) = \Pr(A|B)\times \Pr(B) \]Then we can use total probability:\[ \Pr(A) = \Pr(A\cap B) + \Pr(A\cap C) + \Pr(A \cap F) \]This words because \(B\cup C\cup F\) will make up the entire sample space.
anonymous
  • anonymous
i dont know how to use that
anonymous
  • anonymous
Did they teach you anything about probability? I'm using standard notation.
anonymous
  • anonymous
no they didnt
anonymous
  • anonymous
@beginnersmind
misty1212
  • misty1212
HI!!
anonymous
  • anonymous
hello (:
misty1212
  • misty1212
this question is not that hard in fact, it is like "who is buried in grant's tomb" " the Cartin sensors have a 6% defect rate," "what is the probability that it is defective, given that it was made by Cartin Company?"
misty1212
  • misty1212
they tell you what it is, it is 6%
anonymous
  • anonymous
ok im gonna try it
anonymous
  • anonymous
it was right! thank you!

Looking for something else?

Not the answer you are looking for? Search for more explanations.