Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

rishabh.mission

  • one year ago

A factory manufactures screws, machines X, Y and Z manufacture respectively 1000,2000, 3000 of the screws,1%, 1.5% and 2 % of their outputs are respectively defective .A screw is drawn at random from the product and is found to be defective. What is the probability that it is manufactured by the machine X ?

  • This Question is Closed
  1. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Figure out how many defective screws are made by each machine. The probability that a defective screw is made by machine x is just the ratio of the number of defective screws made by machine x to the total number of defective screws.

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

    there are total 1000 + 2000 +3000 screws = 6000 we chose a screw,P(it comes from X) = 1000/6000 = 1/6 P(it comes from B) = 1/3 P( " " " C) = 1/2 Now we know it is defective P(defective from X) = 1% = 0.01 P(defective from Y) = 0.015 P( " " Z) = 0.02 Our favorable outcome is P(selecting from X)*P(defective from X) total probability = P(selecting from X)*P(defective from X) + P(selecting from Y)*P(defective from Y) + P(selecting from Z)*P(defective from Z) so required probability = fav probab/total probab just substitute values. NOTE - I used Baye's theorem.

  3. rishabh.mission
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanku ...

  4. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    That's a complicated way of arriving at the same result :-) No need to know the percentages of selecting from each machine — you just need to know how many defective screws were made by each machine. Non-defective screws are irrelevant in this problem.

  5. whpalmer4
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If we were trying to find the problem that a randomly selected screw would turn out to be a defective screw made by machine X, the extra work would be useful.

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

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.