A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to be inspected. Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item: (a) if the sampling is done with replacement (the inspector takes an item and puts it back each time). (b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to be inspected. Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item: (a) if the sampling is done with replacement (the inspector takes an item and puts it back each time). (b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
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...
Related questions
Question
100%
Need help with
![A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to
be inspected.
Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item:
(a) if the sampling is done with replacement (the inspector takes an item and puts it back each time).
(b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F716bbd29-abbf-4298-90e8-5f87f8ae386a%2F63c2b160-a0c4-41d0-8b37-6399d5f7bc20%2F68w4s9c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A manufactured lot of buggy whips has 15 items, of which 5 are defective. A random sample of 3 items is chosen to
be inspected.
Find the probability (to at least 4 decimal places) that the sample contains exactly 1 defective item:
(a) if the sampling is done with replacement (the inspector takes an item and puts it back each time).
(b) if the sampling is done without replacement (so the inspector takes a subset of 3 items at once).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Given information
VIEWStep 2: Determine distribution if the sampling done with replacement
VIEWStep 3: Calculate probability of the sample contains exactly one item with replacement
VIEWStep 4: Determine distribution when sampling done with out replacement
VIEWStep 5: Calculate probability of the sample contains exactly one item without replacement
VIEWSolution
VIEWStep by step
Solved in 6 steps with 11 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)