Question

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.6 per year.

a. Find the probability that, in a year, there will be 3 hurricanes.

b. In a 35-year period, how many years are expected to have 3 hurricanes?

c. How does the result from part (b) compare to a recent period of 35 years in which 3 years had 3 hurricanes? Does the Poisson distribution work well here?

Answer #1

The solution to this problem is given below

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 5.2 per year.
a. Find the probability that, in a year, there will be 4
hurricanes.
b. In a 35-year period, how many years are expected to have 4
hurricanes?
c. How does the result from part (b) compare to a recent period
of 35 years in which 5 years had 4 hurricanes? Does the Poisson
distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 7.8 per year. a. Find the
probability that, in a year, there will be 5 hurricanes. b. In a
35-year period, how many years are expected to have 5
hurricanes? c. How does the result from part (b) compare to a
recent period of 35 years in which 3 years had 5 hurricanes? Does
the Poisson distribution work well here?
a. The...

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 7.1 per year.
a. Find the probability that, in a year, there will be 5
hurricanes.
b. In a 45 year period, how many years are expected to have 5
hurricanes?
c. How does the result from part (b) compare to a recent period
of 45 years in which 5 years had 5 hurricanes? Does the Poisson
distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 5.85.8 per year.
a. Find the probability that, in a year, there will be 44
hurricanes.
b. In a 5555-year period, how many years are expected to have
44 hurricanes?
c. How does the result from part (b) compare to a recent period
of 5555 years in which 77 years had 44 hurricanes? Does the
Poisson distribution work well here?

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 6.9 per year. a. Find the
probability that, in a year, there will be 4 hurricanes. b. In a
55-year period, how many years are expected to have 4
hurricanes? c. How does the result from part (b) compare to a
recent period of 55 years in which 5 years had 4 hurricnes? Does
the Poisson distribution work well here? (Round to...

Assume that the Poisson distribution applies and that the mean
number of hurricanes in a certain area is 5.2 per year. a. Find the
probability that, in a year, there will be 4 hurricanes. b. In a 45
-year period, how many years are expected to have 4 hurricanes? c.
How does the result from part (b) compare to a recent period of 45
years in which 7 years had 4 hurricanes? Does the Poisson
distribution work well here? a....

The number of hurricanes (Y) in a season follows a Poisson
distribution with a mean of 3. The damage (X) done by a hurricane
during a given season follows an exponential distribution with mean
2Y.
What is the variance of the yearly damage?

3. Historically, the number of hurricanes hitting Boca Raton
each year follows a Poisson distribution with a mean of 1. What is
the probability that 4 or more hurricanes hit the town in a
year?

Assume that the Poisson distribution applies and that the mean
number of aircraft accidents is 10 per month. Find P(0), the
probability that in a month, there will be no aircraft accidents.
Is it unlikely to have a month with no aircraft accidents?

Listed below are the numbers of hurricanes that occurred in each
year in a certain region. The data are listed in order by year.
Find the range, variance, and standard deviation for the given
sample data. Include appropriate units in the results. What
important feature of the data is not revealed by any of the
measures of variation?1
13 1 19 12 13 15 7
4 10 4 18 3 10 8
The range of the sample data is hurricanes....

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