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 15 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. Coughs are a common occurrence. It is reasonable to assume the events are dependent. Coughs are a rare occurrence. It is reasonable to assume the events are dependent.     Coughs are a common occurrence. It is reasonable to assume the events are independent. Coughs are a rare occurrence. It is reasonable to assume the events are independent. (b) Find the probability of twelve or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.) (c) Find the probability of at least nine coughs (in a large auditorium) in a 32-second period. (Use 4 decimal places.)

Question

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 15 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.
Coughs are a common occurrence. It is reasonable to assume the events are dependent.
Coughs are a rare occurrence. It is reasonable to assume the events are dependent.    
Coughs are a common occurrence. It is reasonable to assume the events are independent.
Coughs are a rare occurrence. It is reasonable to assume the events are independent.


(b) Find the probability of twelve or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.)
 

(c) Find the probability of at least nine coughs (in a large auditorium) in a 32-second period. (Use 4 decimal places.)

Expert Answer

1 Rating

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Lydia Hayward is an external research consultant hired by FirstCard, a major credit card company, to...

A: Correct Option D) This is a right-tailed test because the alternative hypothesis is Ha:μ1−μ2>0.Ex...

Q: The same media consultants decided to continue their investigation of the focal relationship between...

A: In this question, the statistical summary about three models represented by three equation has given...

Q: A researcher wants to investigate whether mindfulness training improves ability for employees to not...

A: In an experiment the factor is an explanatory varible which is manipulated by the experimenter. It i...

Q: Stories in the Tallest Builidings The numbers of stories in the 13 tallest buildings are for two dif...

A: Measures of variability:The measure of variability or the measures of dispersion can be measured usi...

Q: You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

Q: Which is not one of the major assumptions typically associated with parametric tests of significance...

A: Introduction:Some of the major requirements (though not the only requirements and may vary from one ...

Q: Arianna Estefan manages Salmon Falls Park, which has two flagship roller coasters, the Flyer and the...

A: Given Null hypothesis : H0 : µ1 = µ2Alternate hypothesis : Ha : µ1 < µ2,   where µ1 is mean numbe...

Q: See attachment for question.

A: Given X(n,p) is a binomial random variable with parameters n,p.n is total number of trailsp is proba...

Q: Using 50 random numbers given below, compute the mean and standard deviation 0.299752 0.939920 0.427...

A: Standard deviation of a sample tells how the values are spread out from mean of the sample. A low st...