Question

In: Statistics and Probability

The number and frequency of Atlantic hurricanes annually from 1940 through 2015 is shown here. This...

  1. The number and frequency of Atlantic hurricanes annually from 1940 through 2015 is shown here. This means, for instance, that no hurricanes occurred during 5 of these years, only one hurricane occurred in 16 of these years, and so on.

Number

Frequency

0

5

1

16

2

20

3

14

4

4

5

5

6

5

7

3

8

2

10

1

12

1

  1. Find the probabilities of 0-12 hurricanes each season using these data.
  2. Find the mean number of hurricanes.
  3. Assuming a Poisson distribution and using the mean number of hurricanes per season from part b, compute the probabilities of experiencing 0-12 hurricanes in a season. Compare these to your answer to part a. How accurately does a Poisson distribution model this phenomenon?

Solutions

Expert Solution


Related Solutions

A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per...
A frequency distribution is shown below. Complete parts​ (a) through​ (e). The number of dogs per household in a small town. ​(a) Use the frequency distribution to construct a probability distribution. ​(b) Find the mean of the probability distribution. ​(c) Find the variance of the probability distribution.  (d) Find the standard deviation of the probability distribution. ​(e) Using the found values of the mean and the standard​ deviation, an interpretation of the results in the context of the​ real-life situation is...
The data set shown below contains the number of hurricanes that occurred each year over a​...
The data set shown below contains the number of hurricanes that occurred each year over a​ 14-year period. Some scientists claim that there has been an increasean increase in the number of hurricanes as the years progressed. Complete parts​ a) through​ d). Year 11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 ​# 11 22 22 00 22 33 33 11 11 22 44 11 11 00 ​a) Create a histogram of these data. Choose...
The frequency distribution shown in the following table lists the number of hours per day a...
The frequency distribution shown in the following table lists the number of hours per day a randomly selected sample of teenagers spent watching television. Where possible, determine what percent of the teenagers spent the following number of hours watching television. (Round your answers to one decimal place. If not possible, enter IMPOSSIBLE.) Hours per day Number of Teenagers 0 ≤ x < 1 17 1 ≤ x < 2 31 2 ≤ x < 3 24 3 ≤ x <...
1.      The U.S. Department of Agriculture publishes data annually on various selected farm products. Shown here...
1.      The U.S. Department of Agriculture publishes data annually on various selected farm products. Shown here are the unit production figures (in millions of bushels) for three farm products for 10 years during a 20-year period. (leave 3 decimal places) Corn Soybeans Wheat 4152 1127 1352 6639 1798 2381 4175 1636 2420 7672 1861 2595 8876 2099 2424 8226 1940 2091 7131 1938 2108 4929 1549 1812 7525 1924 2037 7933 1922 2739 (1). If we want to predict the...
Using the histogram shown here, do the following. a. Construct a frequency distribution; include class limits, class frequencies ...
Using the histogram shown here, do the following.a. Construct a frequency distribution; include class limits, class frequencies, midpoints, and cumulative frequencies.b. Construct a frequency polygon.c. Construct an ogive.
Shown here are Caterpillar's annual global sales and revenue streams for the years 2004 through 2014....
Shown here are Caterpillar's annual global sales and revenue streams for the years 2004 through 2014. By observing the data graphically and analyzing the data statistically using techniques and concepts from this chapter (forecasting trend line, etc.), share your insights and conclusions about Caterpillar's annual global sales and revenue streams over this period of time. YEAR SALES AND REVENUE STREAMS ($ BILLIONS) 2004 30.31 2005 36.34 2006 41.52 2007 44.96 2008 51.32 2009 32.40 2010 42.59 2011 60.14 2012 65.88...
The number of bears killed in 2010 for 52 counties in Pennsylvania is shown in the frequency distribution. Construct a histogram,
The number of bears killed in 2010 for 52 counties in Pennsylvania is shown in the frequency distribution. Construct a histogram, frequency polygon, and ogive for the data. Comment on the skewness of the distribution. How many counties had 75 or fewer bears killed?
A meteorologist states that the standard deviation of the number of deaths annually from volcanoes in...
A meteorologist states that the standard deviation of the number of deaths annually from volcanoes in Hawaii is greater than 36. If a random sample of 16 years had a standard deviation of 40, is the claim believable? Use a=0.1
What 2 reasons from the options shown here might mean a transaction needs to be excluded...
What 2 reasons from the options shown here might mean a transaction needs to be excluded in bank feeds?(Select all that apply) If the downloaded transaction was already recorded and reconciled in QuickBooks Online If the bank downloads the same transaction more than once If the posting date and actual payment date don’t match in the bank feed If bank description doesn’t match the payee name Read the following statement about recurring transactions in QuickBooks Online and the suggested steps...
The 12​-ft wall shown here stands 28 ft from the building. Find the length of the...
The 12​-ft wall shown here stands 28 ft from the building. Find the length of the shortest straight beam that will reach to the s
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT