A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

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

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @misssunshinexxoxo

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @beginnersmind

  3. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Which do you believe it is?

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i honestly dont know

  5. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    " 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"

  6. misssunshinexxoxo
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Let's break this down

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You need to name your events.

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \(A\): it has a defect \(B\): it comes from Breaker \(C\): it comes from Cartin \(F\): it comes from Flutes

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    "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\[ \Pr(A|B) = 0.04 \]

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    "The Breaker's Manufacturing Company makes 80% of a particular sensor" This is saying "The probability a it comes from Breaker is 80%"\[ \Pr(B) = 0.80 \]

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know how to use that

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Did they teach you anything about probability? I'm using standard notation.

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no they didnt

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @beginnersmind

  16. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    HI!!

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    hello (:

  18. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    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?"

  19. misty1212
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    they tell you what it is, it is 6%

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok im gonna try it

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it was right! thank you!

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.