Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance. (a) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance. (a) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
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
Q. Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. We are interested in the number of defects in an appliance.
(a) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
![Q. Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects
per unit. We are interested in the number of defects in an appliance.
(a) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
(i) What probability distribution do you need to use to solve this problem?
(ii) Find the probability that a randomly selected unit will contain zero surface-finish defect.
(iii) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the
probability that at least two defective units are found in a random sample of 20?
(Use the result of Q(a)(iii).)
(i) What probability distribution do you need to use to solve this problem?
(ii) Find the probability that a randomly selected unit will contain zero surface-finish defect.
(iii) Find the probability that at least two defective units are found in a random sample of 20?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F213cd934-e498-45a2-bd04-3edcb4d4ca08%2F6ab03ed2-0b39-4e78-ba29-ac52da7c70e2%2F9bcgi9n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q. Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects
per unit. We are interested in the number of defects in an appliance.
(a) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
(i) What probability distribution do you need to use to solve this problem?
(ii) Find the probability that a randomly selected unit will contain zero surface-finish defect.
(iii) Find the probability that a randomly selected unit will contain at least one surface-finish defect.
(b) A unit with at least one surface-finish defect is called a defective/nonconforming unit. What is the
probability that at least two defective units are found in a random sample of 20?
(Use the result of Q(a)(iii).)
(i) What probability distribution do you need to use to solve this problem?
(ii) Find the probability that a randomly selected unit will contain zero surface-finish defect.
(iii) Find the probability that at least two defective units are found in a random sample of 20?
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 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)