Question

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 one decimal place as needed.)

Answer #1

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....

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 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 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?

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?

5. Hurricanes threaten the Hawaiian islands according to a
Poisson process with a mean of one every two years. How likely is
it that the islands will be threatened by 35 hurricanes within 55
years and 4 months?

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?

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....

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?
18 2 11 10 15 19 8 19 4 19 18 15 14 6
The range of the sample data is ______ (hurricanes,...

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