A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 12 coughs per minute. (a) Let r= number of coughs in a given time interval. Explain why the Poisson distribution would be a good choice for the probability distribution of r. O Coughs are a common occurrence. It is reasonable to assume the events are dependent. O Coughs are a common occurrence. It is reasonable to assume the events are independent. O Coughs are a rare occurrence. It is reasonable to assume the events are independent. O Coughs are a rare occurrence. It is reasonable to assume the events are dependent. (b) Find the probability of eleven or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.) (c) Find the probability of at least seven coughs (in a large auditorium) in a 20-second period. (Use 4 decimal places.)

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
Topic Video
Question
A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the iitation level rises with each muffled explosion. According to Dr. Brian
Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 12 coughs per minute.
(a) Let r= number of coughs in a given time interval. Explain why the Poisson distribution would be a good choice for the probability distribution of r.
O Coughs are a common occurrence. It is reasonable to assume the events are dependent.
O Coughs are a common occurrence. It is reasonable to assume the events are independent.
O Coughs are a rare occurrence. It is reasonable to assume the events are independent.
O Coughs are a rare occurrence. It is reasonable to assume the events are dependent.
(b) Find the probability of eleven or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.)
(c) Find the probability of at least seven coughs (in a large auditorium) in a 20-second period. (Use 4 decimal places.)
US O A 3:15
&
9%
7
3.
4.
Transcribed Image Text:A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the iitation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 12 coughs per minute. (a) Let r= number of coughs in a given time interval. Explain why the Poisson distribution would be a good choice for the probability distribution of r. O Coughs are a common occurrence. It is reasonable to assume the events are dependent. O Coughs are a common occurrence. It is reasonable to assume the events are independent. O Coughs are a rare occurrence. It is reasonable to assume the events are independent. O Coughs are a rare occurrence. It is reasonable to assume the events are dependent. (b) Find the probability of eleven or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.) (c) Find the probability of at least seven coughs (in a large auditorium) in a 20-second period. (Use 4 decimal places.) US O A 3:15 & 9% 7 3. 4.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
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.
Similar questions
  • SEE MORE 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