The first factory produces 20% details, the second 60%, third factory 20% of details. Thefirst factory has 5% defective details, the second 2%, third 3%. Randomly selected detailis defective. What is the probability that detail was produced by the first factory?

Answered: Image /qna-images/answer/241d30ab-a7c4-4c7f-b2e4-b52a4541ab76.jpg

Answered: The first factory produces 20% details,…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Lando works in Brooklyn and his home is in Newark. He comes to office either by bus or train. If he arrives at office on time or earlier, 90% of the times he comes by train and if he is late, 70% of the times she comes by bus. Lando normally arrives at office on time for 80% of the times. What is the probability that he takes bus normally?
A production process produces 2% defective parts. A sample of 5 parts from the production is selected. What is the probability that the sample contains exactly two defective parts?
ABC garage replaces brakes and shocks. Eighty-five percent of the automobiles that come in need new brakes and 35% need shocks. An automobile is brought in. What is the probability that the automobile needs both brakes and shocks?
Joon wants to determine whether his San Jose oil field will yield oil. He has hired a geologist to run tests on the field. If there is oil in the field, there is a 95% chance that the test will indicate oil. If the field contains no oil, there is a 5% chance that the test will indicate oil. If the test indicates that there is no oil in the field, what is the probability that the field contains oil? Before the test, Joon believes that there is a 10% chance that the field will yield oil.
There was a baseball game between Oscar and Gabe. The chance of Oscar winning is 3/5 (60%). The chance of Gabe winning is 2/5 (40%). This game wasn't a one game competition. It's the best of 5 series. This means the first person to win 3 games is the overall champion. What's the probability (% is best) that Oscar is the champion? Don't answer this question as Oscar with a 60% chance and Gabe as a 40% chance. Also, don’t use the equation for finding multiple events for probability.
Diet Dr.Pepper is going old school and putting a "Free DP" notification under 10% of their 20-oz bottle caps. If I purchase a 6-pack of 20-oz bottles, what is the probability that I win at least two free drpeppers?
Sixty percent of clowns aren’t funny. If you randomly encounter three different clowns, what is the probability that none of them are funny?
A shop keeper sells three models of televisions A, B and C.Sale of model A is 40% of which 3% are with stereo.Sale of model B is 40% of which 7% are with stereo.Sale of model C is 20% of which 9% are with stereo.What is the probability that a randomly sold television is with stereo?
If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?
A computer manufacturing process produces a circuit that is installed into a computer. The circuits can be either Good (G) or Defective (D). The percentage of Defective circuits is 12%. What is the probability ALL THREE circuits are Good?
A mix of 20 songs has 8 that are from Bruno Mars. What is the probability the first 3 songs played are by Bruno Mars. .049% 15% 4.9% O .15%
A large stockpile of used pumps contains 20% that need repair. A repairman is sent to the stockpile of pumps with 3 repair kits. He selects pumps at random and tests them to determine if they need repair. If the pump works corretly, he goes on to the next pump. If the pump does not work, he repairs it with one of his repair kits. (a) Determine the probability that he uses his last repair kit after testing the 7th pump. (b) It takes 10 minutes to test a working pump and 30 minutes to test and repair a pump that is not working, find the expected amount of time that the repairman will need before he uses all 3 repair kits.

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

The first factory produces 20% details, the second 60%, third factory 20% of details. The first factory has 5% defective details, the second 2%, third 3%. Randomly selected detail is defective. What is the probability that detail was produced by the first factory?