# 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?

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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?

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Step 1

Note:

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Step 2

a.

Let X is a random variable shows the number of deaths per day and it follows a Poisson distribution.

Since there are 7 deaths per year, the mean number of deaths is as follows:

Thus, the mean number of deaths per day is 0.0192.

Step 3

b.

Using Excel formula = POISSON.DIST (0,0.0192,FALSE), we can find the required probability.

Output obtained using Ex...

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