A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of exactly 2 failures in the first hour. O .8315 O 1 O .5412 O .2706 (answer) A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of less than 1 faulty cell phone (failure) is created in two hours. O .2706 O .4060 .0733 O .0183 (answer)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

I have the answers to these but i need help with the process thank you

---

### Problem 1

A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of exactly 2 failures in the first hour.

- ○ 0.8315
- ○ 1
- ○ 0.5412
- ○ 0.2706 (answer)

### Problem 2

A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of less than 1 faulty cell phone (failure) is created in two hours.

- ○ 0.2706
- ○ 0.4060
- ○ 0.0733
- ○ 0.0183 (answer)

---

#### Explanation:

These problems involve computing probabilities based on a Poisson distribution, where events happen at a constant rate independently of the last event. In Problem 1, the interest is in finding the probability of a specific number of failures (exactly 2) occurring in a specific period (1 hour). In Problem 2, the focus is on determining the likelihood of an occurrence of less than 1 failure over a different time span (2 hours).
Transcribed Image Text:--- ### Problem 1 A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of exactly 2 failures in the first hour. - ○ 0.8315 - ○ 1 - ○ 0.5412 - ○ 0.2706 (answer) ### Problem 2 A manufacturing plant that employs 50 workers produces roughly 100 cell phones in an hour. At this plant, there are faulty cell phones (failures) created independently at a rate of approximately 2 per hour. Compute the probability of less than 1 faulty cell phone (failure) is created in two hours. - ○ 0.2706 - ○ 0.4060 - ○ 0.0733 - ○ 0.0183 (answer) --- #### Explanation: These problems involve computing probabilities based on a Poisson distribution, where events happen at a constant rate independently of the last event. In Problem 1, the interest is in finding the probability of a specific number of failures (exactly 2) occurring in a specific period (1 hour). In Problem 2, the focus is on determining the likelihood of an occurrence of less than 1 failure over a different time span (2 hours).
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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