Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die each year (based on data from the U.S. National Center for Health Statistics).a. Find the mean number of deaths per day.b. Find the probability that on a given day, there are no deaths.c. Find the probability that on a given day, there is more than one death.d. Based on the preceding results, should Westport have a contingency plan to handle more than one death per day? Why or why not?

Question
Asked Jan 21, 2020
1 views

Poisson: Deaths Currently, an average of 7 residents of the village of Westport (population 760) die each year (based on data from the U.S. National Center for Health Statistics).

a. Find the mean number of deaths per day.

b. Find the probability that on a given day, there are no deaths.

c. Find the probability that on a given day, there is more than one death.

d. Based on the preceding results, should Westport have a contingency plan to handle more than one death per day? Why or why not?

check_circle

Expert Answer

Step 1

(a)

Define the random variable x as the number of deaths per year. Here, the average number of deaths per year is 7 and each death is independent of the other. Hence, the random variable follows the Poisson distribution.

Statistics homework question answer, step 1, image 1
fullscreen
Step 2

Thus, the mean number of deaths in a given day is 0.0192 deaths.

(b)

Define the random variable x as the number of deaths per day. Here, the numbers of deaths are random and each death is independent of the other. Also, the occurrences (death) are uniformly distributed. Then, x follows a Poisson distribution.

Statistics homework question answer, step 2, image 1
fullscreen
Step 3

Interpretation:

There is 98% chance of having no deaths on a given day.

(c)

...

Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

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

Q: Survey Reliability A survey with 12 questions is designed so that 3 of the questions are identical a...

A: Permutations Rule (with some identical items):

question_answer

Q: The following data are from an experiment designed to investigate the perception of corporate ethica...

A: According to the provided data, three groups (management, research and advertising) are considered t...

question_answer

Q: Earthquake Magnitudes Listed below are Richter scale magnitudes of randomly selected earthquakes. a....

A: a.The best point estimate of the population mean μ is the sample mean,

question_answer

Q: Hurricanes Listed below are the numbers of Atlantic hurricanes that occurred in each year. The data ...

A: In this case we need to find the range, variance and standard deviation for the numbers of Atlantic ...

question_answer

Q: In the following problem, check that it is appropriate to use the normal approximation to the binomi...

A: Hey there! Thank you for posting the question. However, since your question has more than 3 sub part...

question_answer

Q: Aquantitative data set has been grouped by using cutpoint grouping with equal-width classes. a. If t...

A: a.Cut-point grouping:A grouping method is similar to limit value grouping with the slight difference...

question_answer

Q: Hurricanes Listed below are the numbers of Atlantic hurricanes that occurred in each year. The data ...

A: Solution: We have to determine the important feature of the data that is not revealed by any of the ...

question_answer

Q: In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results f...

A: Define the random variable x as the number of adults who have credit card. Here, the number of adult...

question_answer

Q: Celebrity Net Worth Listed below are the highest amounts of net worth (in millions of dollars) of ce...

A: GivenHighest amount of networth of 10 celebrities is shown belowWe can find the mean, median, mode a...