The histogram shows the distribution of hurricanes that have hit a country from 1851 through​ 2015, where 1 is the weakest level and 5 is the strongest level.   ​(a) Find the​ mean, variance, and standard deviation of the probability distribution. ​(b) Interpret the results.                           Hurricanes 123450.00.10.20.30.40.5CategoryProbability0.4070.2870.2260.0680.012

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The histogram shows the distribution of hurricanes that have hit a country from 1851 through​ 2015, where 1 is the weakest level and 5 is the strongest level.
 
​(a) Find the​ mean, variance, and standard deviation of the probability distribution.
​(b) Interpret the results.
 
 
 
 
 
 
 
 
 
 
 
 
 
Hurricanes
123450.00.10.20.30.40.5CategoryProbability0.4070.2870.2260.0680.012
 
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  •  
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A histogram titled Hurricanes has a horizontal axis labeled Category from 1 to 5 in increments of 1 and a vertical axis labeled Probability from 0 to 0.5 in increments of 0.05. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the category is listed first and the height is listed second: 1, 0.407; 2, 0.287; 3, 0.226; 4, 0.068; 5, 0.012. Each bar is labeled with its height.
​(a) The mean is
 
nothing.
​(Type an integer or a decimal. Do not​ round.)
The variance is
 
nothing.
​(Round to two decimal places as​ needed.)
The standard deviation is
 
nothing.
​(Round to two decimal places as​ needed.)
​(b) Interpret the results. Select all that apply.
 
 
A.
The typical hurricane deviates from the mean by about 1 category level.
 
B.
The average hurricane is approximately category 1.
 
C.
The average hurricane is approximately category 2.
 
D.
The typical hurricane deviates from the mean by about 2 category levels.
Question Help
The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the
weakest level and 5 is the strongest level.
Hurricanes
0.5- 0.407
0.4-
0.31
0.21
0.14
0.0
(a) Find the mean, variance, and standard deviation of the probability distribution.
(b) Interpret the results.
0.287
0.226
0.068
0.012
Category
(a) The mean is.
(Type an integer or a decimal. Do not round.)
The variance is.
(Round to two decimal places as needed.)
The standard deviation is.
(Round to two decimal places as needed.)
(b) Interpret the results. Select all that apply.
O A. The typical hurricane deviates from the mean by about 1 category level.
O B. The average hurricane is approximately category 1.
O C. The average hurricane is approximately category 2.
O D.
The typical hurricane deviates from the mean by about 2 category levels.
Probability
Transcribed Image Text:Question Help The histogram shows the distribution of hurricanes that have hit a country from 1851 through 2015, where 1 is the weakest level and 5 is the strongest level. Hurricanes 0.5- 0.407 0.4- 0.31 0.21 0.14 0.0 (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results. 0.287 0.226 0.068 0.012 Category (a) The mean is. (Type an integer or a decimal. Do not round.) The variance is. (Round to two decimal places as needed.) The standard deviation is. (Round to two decimal places as needed.) (b) Interpret the results. Select all that apply. O A. The typical hurricane deviates from the mean by about 1 category level. O B. The average hurricane is approximately category 1. O C. The average hurricane is approximately category 2. O D. The typical hurricane deviates from the mean by about 2 category levels. Probability
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