Homework Help is Here – Start Your Trial Now!
Math
Statistics
3) In a factory, there are 100 new cars produced. Three of the cars have serious defects. The quality control group is going to select 10 cars at random and check them thoroughly. (Each car has same probability than the others to get selected). If in the ten controlled cars they find at least one with a defect, they will control the whole group of 100. What is the probability that they will end up checking the whole bunch? (We assume that when they check a defect car, they always discover that the car is defect.)

3) In a factory, there are 100 new cars produced. Three of the cars have serious defects. The quality control group is going to select 10 cars at random and check them thoroughly. (Each car has same probability than the others to get selected). If in the ten controlled cars they find at least one with a defect, they will control the whole group of 100. What is the probability that they will end up checking the whole bunch? (We assume that when they check a defect car, they always discover that the car is defect.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
3) In a factory, there are 100 new cars produced. Three of the cars have serious defects. The quality control group is going to select 10 cars at random and check them thoroughly. (Each car has same probability than the others to get selected). If in the ten controlled cars they find at least one with a defect, they will control the whole group of 100. What is the probability that they will end up checking the whole bunch? (We assume that when they check a defect car, they always discover that the car is defect.)
Transcribed Image Text:3) In a factory, there are 100 new cars produced. Three of the cars have serious defects. The quality control group is going to select 10 cars at random and check them thoroughly. (Each car has same probability than the others to get selected). If in the ten controlled cars they find at least one with a defect, they will control the whole group of 100. What is the probability that they will end up checking the whole bunch? (We assume that when they check a defect car, they always discover that the car is defect.)
4) (This problem is difficult). Same problem as before. But this time when they check a defect car, they only have a probability of 2/3 of discovering the defect. We assume that when they check several defect cars, each defect car has probability of 2/3 to get detected independently of the others.
Transcribed Image Text:4) (This problem is difficult). Same problem as before. But this time when they check a defect car, they only have a probability of 2/3 of discovering the defect. We assume that when they check several defect cars, each defect car has probability of 2/3 to get detected independently of the others.
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS