Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. components of a certain type are shipped to a supp

Components of a certain type are shipped to a supplier in batches of ten. Suppose that...

Free

70.2K

Verified Solution

Question

Basic Math

Components of a certain type are shipped to a supplier inbatches of ten. Suppose that 49% of all such batches contain nodefective components, 27% contain one defective component, and 24%contain two defective components. Two components from a batch arerandomly selected and tested. What are the probabilities associatedwith 0, 1, and 2 defective components being in the batch under eachof the following conditions? (Round your answers to four decimalplaces.)

(a) Neither tested component is defective.

no defective components:    
one defective component:    
two defective components:   


(b) One of the two tested components is defective. [Hint:Draw a tree diagram with three first-generation branches for thethree different types of batches.]

no defective components    
one defective component    
two defective components    

Answer & Explanation Solved by verified expert
4.2 Ratings (661 Votes)

a)

a b a*b ab/?ab
x P(x) P(no defect|x) P(x and no defect) P(x|no defect)
0 0.49 1.0000 0.4900 0.5729
1 0.27 0.8000 0.2160 0.2525
2 0.24 0.6222 0.1493 0.1746
?ab = 0.8553

from above:

P(no defective batch given no defective)=P(no defective batch and no defective)/P(no defective)=0.5729

P(one defective batch given no defective)=P(one defective batch and no defective)/P(no defective)=0.2525
P(two defective batch given no defective)=P(two defective batch and no defective)/P(no defective)=0.1746

b)

as above:

P(no defective batch given one defective)=P(no defective batch and one defective)/P(one defective)=0
P(one defective batch given one defective)=P(one defective batch and one defective)/P(one defective)=0.3876
P(two defective batch given one defective)=P(two defective batch and one defective)/P(one defective)=0.6124

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Green Recycling refurbishes parts The process uses a moving belt which carries each part through...

Basic Math
Q

calculate the pressure in both atm and mmHg exerted if 20.0 mL of 0.10 M HCl...

Chemistry
Q

Students will design a mutually operating gear system under the conditions given in this question. (Sizing...

Mechanical Engineering
Q

Figure 8 E14 shows a light rod of length 1 rigidly attached to a small...

Physics
Q

How much larger is a 5/8 inch socket than a 17/ 32 inch...

Basic Math
Q

Which of the following is the result of the equation below after completing the square...

Basic Math
Q

Is point B a local maximum local minimum or neither A local minimum B local...

Calculus
Q

The Draper Company is considering dropping its Doombug to due to continued losses. Revenue and...

Accounting
Q

Computers speed up the accounting process. Agree or disagree. Explain.

Accounting
Q

Help me pls

Accounting
Q

If a company reports profit margin of 29.1% and investment turnover of 1.20 for one...

Accounting
Q

(Appendix 6B) Inventory Costing Methods: Periodic LIFO Filimonov Inc. has the following information related to...

Accounting